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\(\hbox{if } a^b=c \hbox{ then} \log_a c=b \\ \\ 3^2=x \\ \Downarrow \\ \log_3 x=2\)

Answer:

\(\log_3x=2\)

Step-by-step explanation:

The given equation is

\(3^2=x\)

We need to express this equation as a logarithmic equation.

Taking log base 3 on both sides.

\(\log_33^2=\log_3x\)

Using the property of logarithm, we get

\(2=\log_3x\)          \([\because \log_aa^b=b]\)

Interchange the sides.

\(\log_3x=2\)

Hence, the required equation is \(\log_3x=2\).

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