Logarithms

Front

Evaluate: log₃81

Back

4

Front

Evaluate: log₆(1/216)

Back

-3

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Write in exponential form: log₂(1/8) = -3

Back

2⁻³ = 1/8

Front

Write in logarithmic form: 5² = 25

Back

log₅25 = 2

Front

Define logarithm.

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the base of a logarithm?

Back

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

Front

Convert the exponential equation 2⁴ = 16 to logarithmic form.

Back

log₂16 = 4

Front

What is the change of base formula?

Back

logₐb = logₓb / logₓa for any base x.

Front

Evaluate: log₁₀1000

Back

3