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

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Solution

The correct option is A
11

$l o g_{10} 3^{20} = 20 l o g_{10} 3$

= $20 \times 0.4771$

= 9.542

= 10

(This method is applicable to every number except 10^x. For 10^x, add 1 to the answer.)

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Similar questions

{log}_{10} 2 = 0.3010, {log}_{10} 3 = 0.4771

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l o g_{10} 2 = 0.3010

l o g_{10} 3 = 0.4771

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{l o g}_{10} 2 = 0.3010

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{l o g}_{10} 540 =

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{log}_{10} 3 = 0.4771

{log}_{10} (2.25)

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