Converting Logarithms and Exponentials

Front

Write in exponential form: log₃ 6561 = 8

Back

3⁸ = 6561

Front

Write in exponential form: log₃₆ 1 = 0

Back

36⁰ = 1

Front

Evaluate log₅ 25 = x

Back

x = 2

Front

Write in logarithmic form: 9² = 81

Back

log₉ 81 = 2

Front

Rewrite in exponential form: log₁₀ 100 = 2

Back

10² = 100

Front

What is the base of a logarithm?

Back

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

Front

What is the definition of a logarithm?

Back

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

Front

Convert the exponential equation 2⁵ = 32 to logarithmic form.

Back

log₂ 32 = 5

Front

If log₄ x = 3, what is x?

Back

x = 4³ = 64

Front

What is the change of base formula for logarithms?

Back

logₐ b = logₓ b / logₓ a for any base x.