1965 AHSME Problems/Problem 31

Problem

The number of real values of $x$ satisfying the equality $(\log_ax)(\log_bx) = \log_ab$ , where $a > 0, b > 0, a \neq 1, b \neq 1$ , is:

$\textbf{(A)}\ 0 \qquad \textbf{(B) }\ 1 \qquad \textbf{(C) }\ 2 \qquad \textbf{(D) }\ \text{a finite integer greater than 2}\qquad \textbf{(E) }\ \text{not finite}$

Solution

$\fbox{C}$

1965 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 30	Followed by Problem 32
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1965 AHSME Problems/Problem 31

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