Converting Logs to Exponents

Front

Convert 16 = 2^x to a Log

Back

Log_2(16) = x

Front

Solve for n: 2^(3n) = 4

Back

n = 2/3

Front

Evaluate log_5 20 to the third decimal place

Back

1.861

Front

Solve for x: log_x 25 = 2

Back

x = 5

Front

Evaluate log_4 1

Back

0

Front

Definition of a logarithm

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

Change of Base Formula

Back

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

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

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

Back

b^c = a

Front

Evaluate log_10(100)

Back

2