Logarithms Practice Test 1

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Question : 15 of 40

Marks: +1, -0

If

\log3 = 0.4771

, then find the number of digits in

3^100

.

79
48
52
117
Cannot be determined

Solution:

Let

x = 3^100

Taking log on both sides,

\log x=\log3^{100}

\log x=100×\log 3

\log x=100×0.4771

\log x=47.71

The characteristic is 47
∴ Number of digit in

3^100 = 48

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