Solve for r. 3^r = 27 r = ____

Recognize base and result: Step 1: Recognize the base and the result. 3^r = 27. Here, 3 is the base and 27 is the result.Express as power of 3: Step 2: Express 27 as a power of 3. 27 can be written as 3^3 because 3 * 3 * 3 = 27.Set exponents equal: Step 3: Set the exponents equal since the bases are the same. Since 3^r = 3^3, then r must be 3.

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Solve for $r$ . $\newline$ $3^r = 27$ $\newline$ $r = \_\_\_$

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Math Problems

Grade 8

Solve equations with variable exponents

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Q. Solve for

r

\newline

3^r = 27

\newline

r = \_\_\_

Recognize base and result: Step $1$ : Recognize the base and the result. $3^r = 27$ . Here, $3$ is the base and $27$ is the result.
Express as power of $3$ : Step $2$ : Express $27$ as a power of $3$ . $27$ can be written as $3^3$ because $3 \times 3 \times 3 = 27$ .
Set exponents equal: Step $3$ : Set the exponents equal since the bases are the same. $\newline$ Since $3^r = 3^3$ , then $r$ must be $3$ .