Flashcard - converting and Evaluating Logs

Front

Evaluate log₄1

Back

0

Front

Evaluate log₄2

Back

1/2

Front

Evaluate log₃81

Back

4

Front

Evaluate log₄0.5

Back

-1/2

Front

Write in logarithmic form: a^b = c

Back

logₐc = b

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 for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

Evaluate log₄(4^3)

Back

3

Front

If logₐb = c, what is the equivalent exponential form?

Back

a^c = b

Front

Evaluate log₁₀1000

Back

3