Question

The antilog of $\frac{5}{6}$ to the base $64$ is

Answer 1

The antilog of a number is the inverse technique of finding the logarithm of the same number.

If $x$ is the logarithm of a number $y$ with base $b$ then we can say $y$ is the antilog of $x$ to the base $b$

Required antilog $={\left(64\right)}^{\frac{5}{6}}$

$$\begin{gathered} ={\left(2^6\right)}^{\frac{5}{6}} \\ ={\left(2\right)}^{6\times \frac{5}{6}} \\ ={\left(2\right)}^5 \\ =32 \end{gathered}$$

Hence, the antilog is $32$