Indices, Logarithms and Surds - Jamb Mathematics Past Questions and Answers

Question 71:

• JAMB 1981

Given that 10x = 0.2 and log102 = 0.3010, find x

A. -1.3010
B. -0.6990
C. 0.6990
D. 1.3010
E. 0.02

Question 72:

• JAMB 1981

simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)

A. 3²ⁿ
B. 3 x 2^{3n - 1}
C. 2ⁿ
D. 6
E. 1

Question 73:

• JAMB 1981

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

A. 27
B. 9
C. \(\frac{1}{27}\)
D. 18
E. 81

Question 74:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Question 75:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)