Answer :
SOLUTION
We want to solve the question
[tex]8•5^x=48[/tex]This becomes
[tex]\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}[/tex]Taking log of both sides, we have
[tex]\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}[/tex]Hence the first option is correct