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Global Maxima

If 3 log ...

Question

If $3$ $log x = 6 log 3$ then $x$ is equal to__________

3

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9

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2

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6

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Solution

The correct option is B $9$
$3 log x = 6 log 3$
or $log x^{3} = log 3^{6}$
or, $x^{3} = 3^{6}$
or, $x^{3} = (3^{2})^{3}$
Comparing the bases
$x = 3^{2} = 9$

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