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AM,GM,HM Inequality

If log x+lo...

Question

If $log x + log y + log z = log 5 + log 2$ , then $x y z$ is equal to :

A

0

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B

10

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C

1

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D

20

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Solution

The correct option is B $10$
We know that $log a + log b = log a b$ . Using this property:
$log x + log y + log z = log 5 + log 2$
$\Rightarrow log x y z = log 10$
$\to x y z = 10$

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