Exponential and Logarithmic Form

Front

What are the three components used in logarithmic form?

Back

Base, answer, and exponent.

Front

Write in logarithmic form: 7^2 = 49

Back

\log_749 = 2

Front

Write in logarithmic form: 10^4 = 10000

Back

\log_{10} 10000 = 4

Front

Write in logarithmic form: 10^3 = 1000

Back

\log_{10} 1000 = 3

Front

Solve: \log_{\frac{1}{2}}\left(\frac{1}{16}\right)

Back

4

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 logarithmic form?

Back

The base is the number that is raised to a power in a logarithmic equation.

Front

Convert the exponential equation 2^3 = 8 to logarithmic form.

Back

\log_28 = 3

Front

What is the relationship between exponential and logarithmic functions?

Back

Logarithmic functions are the inverses of exponential functions.

Front

What is the value of \log_{10} 1?

Back

0, because 10^0 = 1.