Exponential and Logarithmic Functions

Front

Write in logarithmic form: 5^2 = 25

Back

log_5 25 = 2

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Using the parent function y=3^x, what would the graph of y=3^(x+1) look like?

Back

Horizontal shift left one unit

Front

Change 6.75% to a decimal.

Back

.0675

Front

The common logarithm has what base?

Back

10

Front

What is the definition of an exponential function?

Back

A function of the form f(x) = a * b^x, where a ≠ 0 and b > 0.

Front

What is the base of a logarithm?

Back

The number that is raised to a power to obtain a given value.

Front

Convert the logarithmic expression log_10 1000 to exponential form.

Back

10^3 = 1000

Front

What is the inverse of an exponential function?

Back

A logarithmic function.

Front

If log_b x = y, what is the equivalent exponential form?

Back

b^y = x