Question

If log 2 = 0.3010, then the position of first significant digit in the value of 2^-37​

Answer 1

The correct answer is 11.

Given: log 2 = 0.3010.

To Find: First significant digit in the value of $2^{-37}$.

Solution:

$x=2^{-37}$

Taking log both the sides.

$logx=-37log2$

$logx=-37(0.3010)$

$logx=-11.137$

$x=10^{-11.137}$

The power is (11.....) so till 11th digit 0's will be there.

Hence, the significant digits are 11.

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