Basic Log Rules

Front

Evaluate: log₄16

Back

2

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Rewrite in exponential form: 2 = log₉x

Back

9² = x

Front

Evaluate: log₄1

Back

0

Front

Evaluate: log₅5

Back

1

Front

Define logarithm.

Back

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

State the change of base formula.

Back

logₐb = logₓb / logₓa for any base x.

Front

Evaluate: log₁₀1000

Back

3

Front

What is the logarithm of 1 in any base?

Back

0, because any number raised to the power of 0 is 1.