9.1 Exponential and Logarithmics Practice

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

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Convert the exponential equation 4^2 = 16 to its logarithmic form.

Back

log_4 16 = 2

Front

The function f(x)=log_bx is the ___________ function with base _________.

Back

logarithmic, b

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

What is the base of a logarithm?

Back

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

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

What is the value of log_10 100?

Back

2, because 10^2 = 100.