ABC26GN2049 · Logarithms
Subject: General Aptitude · Chapter: Logarithms · Exam: 2002 · Marks: · Difficulty:
$2 \log _{10} 5+\log _{10} 8-\frac{1}{2} \log _{10} 4=$ ?
(a)2
(b)4
(c)$2+2 \log _{10} 2$
(d)$4-4 \log _{10} 2$
Answer
Explanation
$$\begin{aligned} & 2 \log _{10} 5+\log _{10} 8-\frac{1}{2} \log _{10} 4= \\ & \quad+\log _{10}\left(5^{2}\right) \\ & =\log _{10} 25+\log _{10} 8-\log _{10} 2=\log _{10}\left(\frac{25 \times 8}{2}\right) \\ & \quad=\log _{10} 100=2 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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