Question

Evaluate the expression by using logarithm tables: $\frac{(17.42{)}^{2/3}\times 18.42}{\sqrt{126.37}}$

• A. $11.01$
• B. $12.01$
• C. $13.01$
• D. $14.01$

Answer 1

The correct option is A $11.01$

Let $x=\frac{(17.42{)}^{2/3}\times 18.42}{\sqrt{126.37}}$
Taking logarithm on both sides,
$\log x=\log (17.42{)}^{2/3}+\log 18.42-\log \sqrt{126.37}$
$\log x=\frac{2}{3}\log 17.42+\log 18.42-\frac{1}{2}\log \left(126.37\right)$
$\log x=\frac{2}{3}\log (1.742\times 10)+\log (1.842\times 10)-\frac{1}{2}\log (1.264\times {10}^2)$
$\log x=\frac{2}{3}\left(1.2410\right)+1.2653-\frac{1}{2}\left(2.1018\right)$
$\log x=0.8273+1.2653-1.0509$
$\log x=1.0417$
$\Rightarrow x=\text{antilog}\left(1.0417\right)$
$\Rightarrow x=11.01$