Exponential and Logarithmic Functions Practice

Front

Write log₂ 0.25 in exponential form.

Back

2⁻² = 0.25

Front

Change to Exponential Form: log₆ 36 = 2

Back

6² = 36

Front

Rewrite log₄ 16 = 2 in exponential form.

Back

4² = 16

Front

Condense to a single logarithm: log(x) + 4log(y)

Back

log(xy⁴)

Front

Condense to a single logarithm: log(a) - log(b)

Back

log(a/b)

Front

Use the change of base formula: log₈ 32

Back

log(32)/log(8) or approx. 2.5

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

What is the change of base formula?

Back

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

Front

Convert 10⁴ = 10000 to logarithmic form.

Back

log₁₀(10000) = 4

Front

What is the product rule for logarithms?

Back

logₐ(xy) = logₐ(x) + logₐ(y) for any positive x and y.