Answer :

The answer would be:

A: log381 = x

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Answer:

Option A

[tex]\log_3 81 =x[/tex]

Step-by-step explanation:

Use logarithmic rules:

  • [tex]\log a^m = m\log a[/tex]
  • [tex]\log_a b = \frac{\log a}{\log b}[/tex]

Given the equation:

[tex]81 = 3^x[/tex]

Taking both side logarithm function:

[tex]\log 81 = x\log 3[/tex]

Divide both sides by log 3 we have;

[tex]\frac{\log 81}{\log 3} = x[/tex]

Apply the logarithmic rules:

[tex]\log_3 81 =x[/tex]

therefore, [tex]81 = 3^x[/tex] as a logarithmic equation is [tex]\log_3 81 =x[/tex]

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