Question 3: Find the value of \(x\) in each of the following:
\((v)\) \(\quad\) \(log_4 x=\frac{3}{2} \)
Solution:
\[
\begin{align*}
log_4 x&=\frac{3}{2}\\4^{\frac{3}{2}}&=x\\x&=2^{2 \times \frac{3}{2}}\\&= 2^3\\&= 8\\
\end{align*}
\]
Question 3: Find the value of \(x\) in each of the following:
\((v)\) \(\quad\) \(log_4 x=\frac{3}{2} \)
Solution:
\[
\begin{align*}
log_4 x&=\frac{3}{2}\\4^{\frac{3}{2}}&=x\\x&=2^{2 \times \frac{3}{2}}\\&= 2^3\\&= 8\\
\end{align*}
\]