Logarithms Practice Test 1

Question : 36 of 40

Marks: +1, -0

What is the number of digits in the numeral form of

8^17

?
(Given

\log_10 2 = 0.3010

)

Solution:

Let,

x = 8^17

⇒ x = (2^3)^17

⇒ x = 2^51

⇒\log x = 51 \log2

⇒ \log x = 51 × 0.3010

⇒ \log x = 15.3510

Hence, the required number of digits

= 15 + 1 = 16

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