Verified Answer :

The answer would be:

A: log381 = x

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Answer:

Option A

\(\log_3 81 =x\)

Step-by-step explanation:

Use logarithmic rules:

  • \(\log a^m = m\log a\)
  • \(\log_a b = \frac{\log a}{\log b}\)

Given the equation:

\(81 = 3^x\)

Taking both side logarithm function:

\(\log 81 = x\log 3\)

Divide both sides by log 3 we have;

\(\frac{\log 81}{\log 3} = x\)

Apply the logarithmic rules:

\(\log_3 81 =x\)

therefore, \(81 = 3^x\) as a logarithmic equation is \(\log_3 81 =x\)