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

Answer 1

To rewrite the equation \((1/3)^{-4} = 81\) as a logarithmic equation, we first recognize that the equation means:

If we raise \((1/3)\) to the power of \(-4\), we get \(81\).

In logarithmic form, this translates to:

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

So the logarithmic equation is:

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