Answer:
2.26
Explanation:
Given the below;
[tex]3^x-5=7[/tex]The 1st step to solving the above is to add 5 to both sides of the equation;
[tex]\begin{gathered} 3^x-5+5=7+5 \\ 3^x=12 \end{gathered}[/tex]The next step is to take the logarithm of both sides;
[tex]\begin{gathered} \log 3^x=\text{log}12 \\ x\log 3=\log 12 \end{gathered}[/tex]The final step is to divide both sides by log 3;
[tex]\begin{gathered} x=\frac{\log 12}{\log 3} \\ x=2.26 \end{gathered}[/tex]
