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

Which of the following equations is equivalent to 25x = 7?-example-1

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4 votes

ANSWER

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}

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