converting logarithmic and exponential forms

Front

Write log₂ 0.25 in exponential form.

Back

2⁻² = 0.25

Front

Rewrite the equation into logarithmic form: 6² = 36.

Back

log₆ 36 = 2

Front

Write log₂ 32 in exponential form.

Back

2⁵ = 32

Front

Rewrite into logarithmic form: 10⁴ = 10,000.

Back

log 10,000 = 4

Front

Rewrite into logarithmic form: 10⁰ = 1.

Back

log 1 = 0

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 logarithmic equation log₄ 16 = 2 to exponential form.

Back

4² = 16

Front

What is the relationship between logarithmic and exponential forms?

Back

Logarithmic form expresses the exponent, while exponential form expresses the base raised to that exponent.

Front

Convert the equation 5³ = 125 to logarithmic form.

Back

log₅ 125 = 3