Question

yadi log2=0.3010 he to log√8 ka man gyat kre
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Answer 1

Explanation:

if log2= 0.3010

then log√8 = 1/2 log 8 = 1/2 log 2³= 3/2log 2

=(3×0.3010)/2

Answer 2

Answer:

$\log \sqrt8 =0.4515$

Explanation:

$\text{We are given that }\log 2=0.3010\\\text{To Find :} \log \sqrt8\\\text{Solution:}\\\text{Since we know that } \log a^b=b\cdot \log a\\\\\text{According to the question}\\\log \sqrt8=\log 8^\frac{1}{2}=\log (2^3)^\frac{1}{2}=\log 2^\frac{3}{2}\\\log2^\frac{3}{2}=\frac{2}{3}\cdot \log 2\\\log \sqrt8 = \frac{2}{3}\text{x}0.3010\\\log \sqrt8 = 0.4515\\\\\text{Hence we get \log \sqrt8 = 0.4515 }$

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