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Solve for $u$ . $\newline$ $8^u = 64$ $\newline$ $u = \_\_\_$

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Solve equations with variable exponents

Full solution

Q. Solve for

u

.

\newline

8^u = 64

\newline

u = \_\_\_

Identify Base and Target: Identify the base and the target value. $\newline$ We have $8$ raised to the power of $u$ equals $64$ . $\newline$ Base: $8$ $\newline$ Target Value: $64$
Rewrite Target Value: Rewrite $64$ as a power of $8$ . $\newline$ $64$ can be written as $8^2$ because $8 \times 8 = 64$ . $\newline$ So, $8^u = 8^2$
Set Exponents Equal: Set the exponents equal to each other since the bases are the same. $u = 2$

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