Log Test

Front

Change to Logarithmic Form: 5^3 = 125

Back

log_5 125 = 3

Front

Write log_2 0.25 = -2 in exponential form

Back

2^-2 = 0.25

Front

Match the graph with its equation: y = log_6(x − 2) + 1

Back

This equation represents a logarithmic function that shifts the graph of log_6(x) to the right by 2 units and up by 1 unit.

Front

Find the asymptote of: y = log_10 (x+3)

Back

The asymptote is x = -3.

Front

Evaluate: log_4 1

Back

0

Front

Define 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 of a logarithm?

Back

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

Front

Convert the logarithmic equation log_b a = c to exponential form.

Back

The equivalent exponential form is b^c = a.

Front

What is the value of log_b b?

Back

1, because any number raised to the power of 1 is itself.

Front

What is the value of log_b 1?

Back

0, because any number raised to the power of 0 is 1.