Question

Which is the logarithmic form of 9^2 = 81?

Answer 1

$log_{9}(81) = 2$

Answer 2

Expressions can be converted to and from logarithmic forms

The logarithmic form of $\mathbf{9^2 = 81}$ is $\mathbf{log_981 = 2}$

The expression is given as:

$\mathbf{9^2 = 81}$

Take the logarithm of both sides

$\mathbf{log9^2 = log81}$

Apply law of logarithm

$\mathbf{2log9 = log81}$

Divide both sides by log 9

$\mathbf{2= \frac{log81}{log9 }}$

Apply change of base rule

$\mathbf{2= log_981}$

Rewrite as:

$\mathbf{log_981 = 2}$

Hence, the logarithmic form of $\mathbf{9^2 = 81}$ is $\mathbf{log_981 = 2}$

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