5.4 Logarithmic Functions

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Evaluate log_b(b)

Back

1

Front

Re-write in exponential form log_5 625 = 4

Back

5^4 = 625

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

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

log_a b = log_c b / log_c a for any base c.

Front

What is the value of log_10(1000)?

Back

3 (because 10^3 = 1000)