Question

Solve 8 • 5^x = 48.x = log^5 (6)x=log48(5)/6x = log^8 (5)x=log5 (48)/6

Answer 1

SOLUTION

We want to solve the question

$8•5^x=48$

This becomes

$\begin{gathered} 8\times5^x=48 \\ divide\text{ both sides by 8, we have } \\ \frac{8\times5^x}{8}=\frac{48}{8} \\ 5^x=6 \end{gathered}$

Taking log of both sides, we have

$\begin{gathered} log5^x=log6 \\ This\text{ becomes } \\ xlog5=log6 \\ dividing\text{ both sides by log5, we have } \\ x=\frac{log6}{log5} \\ x=log_5(6) \end{gathered}$

Hence the first option is correct