Question

Which of the following equations is equivalent to 25x = 7?

Answer 1

OPTION B

Explanation

Given the equation below

`2^(5x)\text{ = 7}`

The next thing is to convert to logarithms by using the formula

`\begin{gathered} x=log_by \\ \text{where b = 2} \\ y\text{ = 7} \end{gathered}`

The next thing is to substitute the value of b and y into the above equation.

`\begin{gathered} \text{Log}_27\text{ = 5x} \\ \text{Make x the subect of the formula} \\ \text{Hence, divide both sides by 5} \\ (\log _27)/(5)\text{ = }(5x)/(5) \\ x\text{ = }(\log _27)/(5) \end{gathered}`