rewrite (1/3)^4 =81 as a logarithmic equation.

1 answer

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:

\[ \log_{\frac{1}{3}}(81) = 4 \]