Converting & Evaluating Logs

Front

Write in exponential form: log₂ 32 = 5

Back

2⁵ = 32

Front

Rewrite in logarithmic form: 7⁰ = 1

Back

log₇ 1 = 0

Front

Write the exponential equation as a logarithm: 6³ = 216

Back

log₆(216) = 3

Front

Write in logarithmic form: 4⁵ = 1024

Back

log₄ 1024 = 5

Front

Rewrite in exponential form: log₇(1/49) = -2

Back

7⁻² = 1/49

Front

Definition: Logarithm

Back

The logarithm of a number is the exponent to which the base must be raised to produce that number.

Front

Definition: Base of a logarithm

Back

The base of a logarithm is the number that is raised to a power.

Front

Definition: Exponential form

Back

An expression where a number is raised to a power, written as b^x.

Front

Definition: Logarithmic form

Back

An expression that represents the exponent as log_b(a) = x, meaning b^x = a.

Front

Example: Convert log₃ 9 = 2 to exponential form

Back

3² = 9