Converting Logarithms

Front

Evaluate: log_9 3

Back

1/2

Front

The common logarithm has what base?

Back

10

Front

Write in logarithmic form: 9^2 = 81

Back

log_9 81 = 2

Front

Write in exponential form: log_2 32 = 5

Back

2^5 = 32

Front

Rewrite e^x = 9 using a logarithm

Back

ln 9 = x

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

Convert log_2 8 to exponential form.

Back

2^3 = 8

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_10 1000

Back

3

Front

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

Back

b^c = a