ABC26GN2037 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:

$\log _{10}\left(10 \times 10^{2} \times 10^{3} \times\right.$ $\_\_\_\_$ $\left.\times 10^{9}\right)$ is
(a)10
(b)20
(c)45
(d)55
Answer
Answer (as printed): C
Explanation
$\log _{10}\left(10 \times 10^{2} \times 10^{3} \times \ldots \times 10^{9}\right)$ $=\log _{10} 10^{(1+2+3+\ldots+9)}=\log _{10} 10^{45}=45 \log _{10} 10=45$.

Explanation as extracted from the printed page; notation may be imperfect.

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