Question
Express the following exponential equations in logarithmic form:

$9^{\frac{3}{2}}=27$

Answer

$\quad 9^{\frac{3}{2}}=27$
$\therefore \quad \frac{3}{2}=\log _9 27$
..[By definition of logarithm]
i.e., $\log _9 27=\frac{3}{2}$

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