Question
Rewrite (1/3)^-4
as a logarithmic equation.
as a logarithmic equation.
Answers
GPT-4o mini
To rewrite \((\frac{1}{3})^{-4}\) as a logarithmic equation, first, we simplify the expression.
\[
(\frac{1}{3})^{-4} = 3^4
\]
Calculating \(3^4\):
\[
3^4 = 81
\]
Now, we can express this in logarithmic form. The expression \(3^4 = 81\) can be written as:
\[
\log_3(81) = 4
\]
So, the logarithmic equation corresponding to \((\frac{1}{3})^{-4}\) is:
\[
\log_3(81) = 4
\]
\[
(\frac{1}{3})^{-4} = 3^4
\]
Calculating \(3^4\):
\[
3^4 = 81
\]
Now, we can express this in logarithmic form. The expression \(3^4 = 81\) can be written as:
\[
\log_3(81) = 4
\]
So, the logarithmic equation corresponding to \((\frac{1}{3})^{-4}\) is:
\[
\log_3(81) = 4
\]