a

1. Log Test Review Topics
Useful tools to remember
Quadratic Formula
Exponent Properties
Product Property, Quotient Property, Power of a Power Property, etc
𝑏𝑏0
=
𝑏𝑏1
=
Exponential Growth/Decay
Is this growth or decay?
Exponent rules involving natural log e
Logarithmic Functions
Find the inverse of:

2. Evaluate
Find the inverse of:
Find the inverse of:
Properties of Logarithms
What are the Product Property, Quotient Property, and Power Property formulas?

3. Expand or Condense the following:
log8(3𝑥𝑥5
) =
ln
5𝑥𝑥3
𝑦𝑦
=
log4 15 − 3 log4 𝑥𝑥
4ln 𝑥𝑥 + 3 ln 2 − ln 7

4. What is the change of base formula?
Use the change of base formula to evaluate the following logarithms:
log4 3 =
log5 5 =
log2 16 =

5. Solving Logarithmic Functions
What is the Property of Equality for logarithmic equations?
Solve:
log7(2𝑥𝑥 − 1) = log7(5𝑥𝑥 − 13)
Solve:
ln(𝑥𝑥 − 4) = ln(3𝑥𝑥 + 1)
Solve:
log2(2𝑥𝑥 + 4) = 3

6. Solve:
log2(𝑥𝑥2
+ 4𝑥𝑥 − 10) = 1
How many solutions should you find? Make sure to check for invalid solutions!
Solve:
log2(𝑥𝑥 − 2) + log2(𝑥𝑥 + 1) = 2
Make sure to check for invalid solutions!