The value of x, if $5^{x - 3} {.3}^{2 x - 8} = 225$ , is

1

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2

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5

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4

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Solution

The correct option is C $5$
$5^{x - 3} \cdot 3^{2 x - 8} = 225$ $= 5^{2} \cdot 3^{2}$

By equating power

$x - 3 = 2$ $2 x - 8 = 2$
$x = 5$ $x = 5$

$\Rightarrow x = 5$ .

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