Скачать или смотреть Algebra 2 Practice - Rewrite a Logarithmic Equation into Exponential Form (Example 2)

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To rewrite a logarithmic equation into exponential form, you can use the following property:

\[
\log_b(x) = y \quad \text{is equivalent to} \quad b^y = x
\]

Where:
\( b \) is the base of the logarithm,
\( y \) is the result of the logarithmic expression,
\( x \) is the argument of the logarithm.

Example:

Given the logarithmic equation:

\[
\log_3(81) = 4
\]

To rewrite it in exponential form:

The base of the logarithm is 3,
The result is 4,
The argument is 81.

So, in exponential form, the equation is:

\[
3^4 = 81
\]

This means that 3 raised to the power of 4 equals 81.

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Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa

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