evaluate logarithms

Front

Rewrite the equation into logarithmic form: 6^2 = 36

Back

log_6 36 = 2

Front

Evaluate log_9 81. Think: '9 to what power is 81'?

Back

True, and it's 2

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Evaluate log_3(1/9) by thinking: '3 to what power is 1/9'?

Back

-2

Front

True or False: log_8 64 = 2

Back

True

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 log_b a = c, what is the equivalent exponential form?

Back

b^c = a

Front

Evaluate log_10 1000.

Back

3 (because 10^3 = 1000)

Front

What is the change of base formula for logarithms?

Back

log_b a = log_k a / log_k b for any base k.

Front

Evaluate log_2 16.

Back

4 (because 2^4 = 16)