Converting Logarithms to Exponential Form

Front

Convert x^5 = 6 to logarithmic form.

Back

log_x 6 = 5

Front

Rewrite the equation in exponential form: 15^r = 26.

Back

15^r = 26

Front

Write in logarithmic form: 7^2 = 49.

Back

log_7 49 = 2

Front

Write in exponential form: log_3 6561 = 8.

Back

3^8 = 6561

Front

Write in exponential form: log_2 32 = 5.

Back

2^5 = 32

Front

Define logarithm.

Back

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

Front

What is the base in a logarithmic expression log_b a = c?

Back

The base b is the number that is raised to the power c to get a.

Front

Convert log_10 100 = 2 to exponential form.

Back

10^2 = 100

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

Convert log_5 25 = 2 to exponential form.

Back

5^2 = 25