Question

The logarithmic form of $(81{)}^{\frac{3}{4}}=27$ is

• A. ${\log }_{66}36=\frac{2}{9}$
• B. ${\log }_{81}27=\frac{3}{4}$
• C. ${\log }_{16}33=\frac{7}{2}$
• D. ${\log }_{78}12=\frac{1}{3}$

Answer 1

Answer: (B)

${\log }_{81}27=\frac{3}{4}$

Since, ${81}^{\frac{3}{4}}=27$
$⟹\log$ of $27$ to base $81$ is $\frac{3}{4}$
$⟹{\log }_{81}27=\frac{3}{4}$.