CEMC Cayley

Algebra Difficulty 2.0 Junior Find the answer

If $3^x = 5$ , what is the value of $3^{x+2}$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Using exponent laws, $3^{x+2} = 3^x \cdot 3^2 = 3^x \cdot 9$ . Since $3^x = 5$ , then $3^{x+2} = 3^x \cdot 9 = 5 \cdot 9 = 45$ .

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