ABC26GN2093 · Logarithms
Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:
If $\log (0.57)=\overline{1} .756$, then the value of $\log 57+\log$ $(0.57)^{3}+\log \sqrt{0.57}$ is
(a)0.902
(b)$\overline{2} .146$
(c)1.902
(d)$\overline{1} .146$
Answer
Explanation
$$\log (0.57)=\overline{1} .756 \Rightarrow \log 57=1.756$$ [ ∵ mantissa will remain the same] $$\begin{aligned} & \therefore \quad \log 57+\log (0.57)^{3}+\log \sqrt{0.57} \\ & =\log 57+3 \log \left(\frac{57}{100}\right)+\log \left(\frac{57}{100}\right)^{1 / 2} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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