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Solve. Write your answer as an integer or a fraction in simplest form. $\newline$ $25 = 5^x$ $\newline$ $x =$ ______

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Solve exponential equations by rewriting the base

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form.

\newline

25 = 5^x

\newline

x =

______

Identify Power of $5$ : Rewrite $25$ as a power of $5$ , since $25$ is $5$ squared, we can write it as $5^2$ .
Determine Exponent: Now we have $5^2 = 5^x$ , so $x$ must be $2$ because the bases are the same and therefore the exponents must be equal.
Verify Solution: $x = 2$ , let's check it; $5^2$ is indeed $25$ .

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