Converting & Evaluating Logarithms & Exponential

Front

Write in exponential form: log₂ 32 = 5

Back

2⁵ = 32

Front

Write in logarithmic form: 2⁻¹ = 0.5

Back

log₂ 0.5 = -1

Front

Evaluate: log₆₄ 4

Back

⅓

Front

Evaluate: log₆ (1/6)

Back

-1

Front

Evaluate: log₉ 3

Back

½

Front

Define logarithm.

Back

A logarithm is the power to which a number must be raised to obtain another 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 3² = 9 to logarithmic form.

Back

log₃ 9 = 2

Front

What is the change of base formula?

Back

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

Front

Evaluate: log₁₀ 1000

Back

3