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Solve for $y$ . $\newline$ $7^y = 49$ $\newline$ $y$ = ____

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Solve equations with variable exponents

Full solution

Q. Solve for

y

.

\newline

7^y = 49

\newline

y

= ____

Recognize relationship: Step $1$ : Recognize the relationship between the base and the result. $7^y = 49$ , and we know $49$ is $7$ squared, so $7^2 = 49$ .
Set exponents equal: Step $2$ : Set the exponents equal since the bases are the same. $\newline$ Since $7^y = 7^2$ , then $y$ must equal $2$ .

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