SlideShare a Scribd company logo
1 of 8
Objectives:
1. Solve exponential equations
are

equations with a variable in the
exponent.
In 5-2 we solved some like this:
But,

what if both sides can’t be
written with the same base?
Need to use a log!
Solve:



Solve:



In

1990, there were about 5.4
billion people in the world. If the
population has been growing at
1.95% per year, estimate when the
population will be 8 billion people.
The

half-life of carbon-11 is 20
minutes. How long will it take 800
g of carbon to decay to:
640 g?
40

g?
You

invest P dollars at an annual
rate of 6% compounded daily.
How long does it take to:
Increase your investment by 50%?

Double

your money?
An

investment is made at 7%
annual interest compounded daily.
How long does it take to triple the
investment?

More Related Content

More from hisema01

6 5 parabolas
6 5 parabolas6 5 parabolas
6 5 parabolashisema01
 
4.3 finding missing angles
4.3 finding missing angles4.3 finding missing angles
4.3 finding missing angleshisema01
 
4.2 solving for missing sides
4.2 solving for missing sides4.2 solving for missing sides
4.2 solving for missing sideshisema01
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratioshisema01
 
R.4 solving literal equations
R.4 solving literal equationsR.4 solving literal equations
R.4 solving literal equationshisema01
 
R.3 solving 1 var inequalities
R.3 solving 1 var inequalitiesR.3 solving 1 var inequalities
R.3 solving 1 var inequalitieshisema01
 
R.2 solving multi step equations
R.2 solving multi step equationsR.2 solving multi step equations
R.2 solving multi step equationshisema01
 
R.1 simplifying expressions
R.1 simplifying expressionsR.1 simplifying expressions
R.1 simplifying expressionshisema01
 
10 4 solving trig equations
10 4 solving trig equations10 4 solving trig equations
10 4 solving trig equationshisema01
 
7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomialshisema01
 
7 3 multiplying polynomials
7 3 multiplying polynomials7 3 multiplying polynomials
7 3 multiplying polynomialshisema01
 
7.2 simplifying radicals
7.2 simplifying radicals7.2 simplifying radicals
7.2 simplifying radicalshisema01
 
10 3 double and half-angle formulas
10 3 double and half-angle formulas10 3 double and half-angle formulas
10 3 double and half-angle formulashisema01
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solvinghisema01
 
10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangenthisema01
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solvinghisema01
 
6.6 optimization
6.6 optimization6.6 optimization
6.6 optimizationhisema01
 
7.1 properties of exponents
7.1 properties of exponents7.1 properties of exponents
7.1 properties of exponentshisema01
 
7 1 polynomials
7 1 polynomials7 1 polynomials
7 1 polynomialshisema01
 
10 1 sum and difference for sin and cos
10 1 sum and difference for sin and cos10 1 sum and difference for sin and cos
10 1 sum and difference for sin and coshisema01
 

More from hisema01 (20)

6 5 parabolas
6 5 parabolas6 5 parabolas
6 5 parabolas
 
4.3 finding missing angles
4.3 finding missing angles4.3 finding missing angles
4.3 finding missing angles
 
4.2 solving for missing sides
4.2 solving for missing sides4.2 solving for missing sides
4.2 solving for missing sides
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratios
 
R.4 solving literal equations
R.4 solving literal equationsR.4 solving literal equations
R.4 solving literal equations
 
R.3 solving 1 var inequalities
R.3 solving 1 var inequalitiesR.3 solving 1 var inequalities
R.3 solving 1 var inequalities
 
R.2 solving multi step equations
R.2 solving multi step equationsR.2 solving multi step equations
R.2 solving multi step equations
 
R.1 simplifying expressions
R.1 simplifying expressionsR.1 simplifying expressions
R.1 simplifying expressions
 
10 4 solving trig equations
10 4 solving trig equations10 4 solving trig equations
10 4 solving trig equations
 
7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials7 2 adding and subtracting polynomials
7 2 adding and subtracting polynomials
 
7 3 multiplying polynomials
7 3 multiplying polynomials7 3 multiplying polynomials
7 3 multiplying polynomials
 
7.2 simplifying radicals
7.2 simplifying radicals7.2 simplifying radicals
7.2 simplifying radicals
 
10 3 double and half-angle formulas
10 3 double and half-angle formulas10 3 double and half-angle formulas
10 3 double and half-angle formulas
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solving
 
10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent10 2 sum and diff formulas for tangent
10 2 sum and diff formulas for tangent
 
6.7 other methods for solving
6.7 other methods for solving6.7 other methods for solving
6.7 other methods for solving
 
6.6 optimization
6.6 optimization6.6 optimization
6.6 optimization
 
7.1 properties of exponents
7.1 properties of exponents7.1 properties of exponents
7.1 properties of exponents
 
7 1 polynomials
7 1 polynomials7 1 polynomials
7 1 polynomials
 
10 1 sum and difference for sin and cos
10 1 sum and difference for sin and cos10 1 sum and difference for sin and cos
10 1 sum and difference for sin and cos
 

Recently uploaded

Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfciinovamais
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationnomboosow
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpinRaunakKeshri1
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...Pooja Nehwal
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajanpragatimahajan3
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Celine George
 

Recently uploaded (20)

Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communication
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17
 

5 7 exponential equations