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Solve for $q$ . $\newline$ $3^q = 27$ $\newline$ $q$ = ____

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Solve equations with variable exponents

Full solution

Q. Solve for

q

.

\newline

3^q = 27

\newline

q

= ____

Identify Base and Result: Identify the base and the result to which the base is raised to get $27$ . $\newline$ Base: $3$ , Result: $27$
Express $27$ as Power: Recognize that $27$ can be expressed as a power of $3$ . $27 = 3^3$
Set Exponent Equal: Set the exponent in the equation $3^q$ equal to the exponent found in step $2$ . $\newline$ $q = 3$

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