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HomeGRE › Quantitative Reasoning › If $3^{2x} = 81$, what is the value of $x$?

If $3^{2x} = 81$, what is the value of $x$?

A$3$
B$1$
C$2$
D$4$
Answer & Solution
Correct answer: C. $2$
$81 = 3^{4}$. So $3^{2x} = 3^{4} \Rightarrow 2x = 4 \Rightarrow x = 2$. - Trap D ($4$) reads off the exponent of $81$ without dividing. - Trap A and C miscount.
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