If $l o g_{10} 3 = 0.477$ , the number of digits in $3^{40}$ is

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Solution

The correct option is C 20
Let $y = 3^{40}$
$l o g y = 40 l o g 3 = 19.08$
$∴$ Number of digits in $y = 19 + 1 = 20$

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Similar questions

l o g_{10} 3 = 0.477

3^{40}

l o g_{10} 3 = 0.477

3^{40}

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

$H o w m a n y d i g i t s w i l l 3^{20} h a v e i f {l o g}_{10} 3 = 0.4771 ?$

l o g_{10} 2 = 0.30103, l o g_{10} 3 = 0.47712

3^{12} \times 2^{8}

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