#### Answer

{$8$}

#### Work Step by Step

Step 1: $\log_{x} 64=2$
Step 2: $x^{2}=64$
Step 3: $\sqrt {x^{2}}=\pm\sqrt {64}$
Step 4: $x=+8$, as -8 is discarded since the base of a logarithm cannot be negative.
Therefore, the solution set is {$8$}.

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

{$8$}

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