APPC Evaluating Logarithms

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Rewrite the equation 2³ = 8 in logarithmic form.

Back

log₂8 = 3

Front

Evaluate log(1/10,000).

Back

-4

Front

Evaluate log₃(1/3).

Back

-1

Front

Evaluate log₉(1/3).

Back

-1/2

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

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

Back

a^c = b

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the value of log₁₀(10)?

Back

1

Front

What is the value of log₁₀(1)?

Back

0