(a) Using logarithm table, evaluate... | WAEC SSCE - General Mathematics - 1991 (Objective)

Question 1 Report

(a) Using logarithm table, evaluate \(\frac{\sqrt[3]{1.376}}{\sqrt[4]{0.007}}\) correct to three significant figure.

(b) Without using Mathematical tables, find the value of \(\frac{\log 81}{\log \frac{1}{3}}\).

Answer

Answer Details

(a) Let \(N=\dfrac{\sqrt[3]{1.376}}{\sqrt[4]{0.007}}\). Using logarithms:

Number	log	operation
\(1.376\)	\(0.1387\)	\(\div3=0.04623\)
\(0.007\)	\(\bar{3}.8451=-2.1549\)	\(\div4=-0.53873\)

\[\log N=0.04623-(-0.53873)=0.58496.\]

\[N=\text{antilog}(0.58496)=3.85\ (3\text{ s.f.}).\]

(b) Express in one base: \(81=3^{4}\) and \(\tfrac13=3^{-1}\).

\[\frac{\log81}{\log\frac13}=\frac{\log3^{4}}{\log3^{-1}}=\frac{4\log3}{-\log3}=-4.\]

(a) Using logarithm table, evaluate \(\frac{\sqrt[3]{1.376}}{\sqrt[4]{0.007}}\) correct to three significant figure. (b) Without using Mathematical tables, ...