Solve for u. 9^u = 81 u = ____

Recognize relationship: Recognize the relationship between the base and the result. 9^u = 81 can be rewritten by recognizing that 81 is a power of 9. 81 = 9^2.Rewrite using power: Set the exponents equal to each other since the bases are the same. Since 9^u = 9^2, set u = 2.

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Solve for $u$ . $\newline$ $9^u = 81$ $\newline$ $u = \_\_\_$

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Math Problems

Grade 8

Solve equations with variable exponents

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Q. Solve for

u

\newline

9^u = 81

\newline

u = \_\_\_

Recognize relationship: Recognize the relationship between the base and the result. $\newline$ $9^u = 81$ can be rewritten by recognizing that $81$ is a power of $9$ . $\newline$ $81 = 9^2$ .
Rewrite using power: Set the exponents equal to each other since the bases are the same. $\newline$ Since $9^u = 9^2$ , set $u = 2$ .