Find the value of $x$ . $\log _ { 81 } x = \frac { 1 } { 2 }$
A)9
B) $\frac { 1 } { 9 }$
C)2
D) $\frac { 1 } { 2 }$
E) $1$

Name: Find the value of $x$ . $\log _ { 81 } x = \frac { 1 } { 2 }$ A)9 B) $\frac { 1 } { 9 }$ C)2 D) $\frac { 1 } { 2 }$ E) $1$
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Question

Quizplus · Accepted Answer

To solve the equation $\log _ { 81 } x = \frac { 1 } { 2 }$, we rewrite the logarithmic equation in its exponential form: $81^{\frac{1}{2}} = x$. Since $81 = 9^2$, we have $81^{\frac{1}{2}} = (9^2)^{\frac{1}{2}} = 9$. Therefore, $x = 9$.

Find the Value Of xxx log⁡81x=12\log _ { 81 } x = \frac { 1 } { 2 }log81​x=21​

Find the Value Of $x$ $\log _ { 81 } x = \frac { 1 } { 2 }$