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# Ib maths sl logarithms definition

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### Ib maths sl logarithms definition

1. 1. LogarithmsBy the end of the lesson you will be able to :• Understand what  a logarithm is.• Find logarithms of numbers in different bases.• Use logarithms to re­write exponential expressions.
2. 2. Solve the equations:3x  =3 (7x+6)2
3. 3. 2x   = 5Logarithms will help us to solve these type of equations. In the previous equation,  , 8 can be  expressed as a power of 2. But that is not the case with 5.
4. 4. Definition:( a > 0,  a ≠1 )log2 8 = 3    because   23=8log10 100 =
5. 5. log2 32 =log3 27 =log10 0.1 =log7 1=
6. 6. log4 2 =log5 0.2 =
7. 7. log10 1 =
8. 8. Write these powers as logarithms:43 = 6410­2 =0.01
9. 9. Basics:log2 2 = log7 7 = loga a = 1
10. 10. log7 1 = log4 1 =loga 1 = 0log 4 0 =  loga 0  not possiblelog10    is written    log
11. 11. Solve worksheet : "Understanding logarithms"http://www.maths­bingo.com/A%20enviar/LogarithmsDetermine/LogarithmsDetermine.htmlSolve Book page 54­55  Ex 2D