ANSWER
OPTION B
STEP-BY-STEP EXPLANATION
Given the equation below
[tex]2^{5x}\text{ = 7}[/tex]
The next thing is to convert to logarithms by using the formula
[tex]\begin{gathered} x=log_by \\ \text{where b = 2} \\ y\text{ = 7} \end{gathered}[/tex]
The next thing is to substitute the value of b and y into the above equation.
[tex]\begin{gathered} \text{Log}_27\text{ = 5x} \\ \text{Make x the subect of the formula} \\ \text{Hence, divide both sides by 5} \\ \frac{\log _27}{5}\text{ = }\frac{5x}{5} \\ x\text{ = }\frac{\log _27}{5} \end{gathered}[/tex]
