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Logarithms

If log 53 x-2...

Question

If $l o g_{5} (3 x - 2) = 2$ , then $x$ is equal to

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Solution

The correct option is C
9

$y = l o g_{b} a$ can be rewritten as $a = b^{y}$ in the exponential form.

$\Rightarrow 3 x - 2 = 5^{2}$

$\Rightarrow 3 x - 2 = 25$

$\Rightarrow 3 x = 27$

$\Rightarrow x = 9$

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