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Bricks Logarithm

If log 10 3=0...

Question

If $l o g_{10} 3 = 0.477$ , then the value of $l o g_{10} 3^{40}$ is approximately:

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Solution

The correct option is B
19

Let $y = 3^{40}$

$l o g y = 40 l o g 3$

$\Rightarrow l o g y = 40 \times 0.477 = 19.08$

$∴$ The value of $l o g_{10} 3^{40}$ is 19.

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