Question
rewrite (1/3)^4 =81 as a logarithmic equation.
Answers
Answered by
GPT-4o mini
To rewrite the equation \((1/3)^4 = 81\) as a logarithmic equation, we can express it in the form of \(b^y = x\) which translates to \(\log_b(x) = y\).
In this case, we can identify:
- \(b = \frac{1}{3}\)
- \(y = 4\)
- \(x = 81\)
So, we can rewrite it as:
\[
\log_{\frac{1}{3}}(81) = 4
\]
In this case, we can identify:
- \(b = \frac{1}{3}\)
- \(y = 4\)
- \(x = 81\)
So, we can rewrite it as:
\[
\log_{\frac{1}{3}}(81) = 4
\]