Logarithms

STUDY!!

A LOGARITHM is an exponent. It is the expontent to which the base must be raised to produce a given number.
For example, since
2^3 = 8
then 3 is called the logarithm of 8 with base 2.
3 = log2 (8)
3 is the exponent to which 2 must be raised to produce 8.

Definition:
logb (x) = n means b^n = x.
That base with the exponent produces x.
**With any base, the logarithm of 1 is 0.

Practice:
Write in exponential form: log2 (32) = 5

Write in logarithmic form: 4^−2 = 1/16

Evaluate log8 (1).

Evaluate log5 (5).