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Solve for $b$ . $\newline$ $3^b = 9$ $\newline$ $b$ = ____

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Solve equations with variable exponents

Full solution

Q. Solve for

b

.

\newline

3^b = 9

\newline

b

= ____

Recognize relationship: Recognize the relationship between the base and the result. $\newline$ $3^b = 9$ can be rewritten by recognizing that $9$ is a power of $3$ . $\newline$ $3^b = 3^2$
Rewrite equation: Set the exponents equal to each other since the bases are the same. $\newline$ $b = 2$

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