Logarithms

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

If log₁₆(4) = y, what is y?

Back

y = (1/2)

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

If log₂(1/8) = y, what is y?

Back

y = -3

Front

Write in logarithmic form: 5² = 25

Back

log₅25 = 2

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 2³ = 8 to logarithmic form.

Back

log₂8 = 3

Front

What is the base of a logarithm?

Back

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

Front

If log₃x = 4, what is x?

Back

x = 3⁴ = 81

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.