x= 0.5714
Explanation
[tex]23^x=6[/tex]
Step1
[tex]\begin{gathered} 23^x=6 \\ \operatorname{mean}s \\ x=\log _{23}6 \\ as \\ \log _ba=\frac{\log _a}{\log _b} \end{gathered}[/tex]
therefore, replace
[tex]\begin{gathered} x=\frac{\log 6}{\log \text{ 23}} \\ x=\frac{0.778151}{1.361728} \\ x=0.5714 \end{gathered}[/tex]so, the answeris
x= 0.5714
I hope this helps you
