Basic Logarithm

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Write 10^4 = 10000 in logarithmic form.

Back

log_10 10000 = 4

Front

Write 2^3 = 8 in logarithmic form.

Back

log_2 8 = 3

Front

Rewrite log_2 8 = 3 in exponential form.

Back

2^3 = 8

Front

Evaluate: log_4 16

Back

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

What is the base in a logarithmic expression?

Back

The base is the number that is raised to a power in a logarithmic expression.

Front

Convert log_10 100 = 2 to exponential form.

Back

10^2 = 100

Front

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

Back

b^c = a

Front

What is the change of base formula for logarithms?

Back

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