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

Question 66:

• JAMB 1980

If it is given that 5^{x + 1} + 5^x = 150, then the value of x is equal to

A. 3
B. 4
C. 1
D. 2
E. \(\frac{1}{2}\)

Question 67:

• JAMB 1980

Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.

A. 1.03
B. 2.31
C. 3.69
D. 10.5
E. 25

Question 68:

• JAMB 1980

Simplify 10² + log₁₀5

A. 500
B. 2 log₁₀ 5
C. 10
D. 25
E. Log₁₀5 x 10¹⁰⁰

Question 69:

• JAMB 1981

Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)

A. 2\(\sqrt{2} - \sqrt{3}\)
B. 3(\(\sqrt{6}\) - 1)
C. \(\sqrt{6}\) - 3
D. -\(\frac{1}{2}\)
E. \(\frac{-\sqrt{3}}{\sqrt{2} - \sqrt{2}}\)

Question 70:

• JAMB 1981

If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.

A. 8
B. \(\sqrt{65}\)
C. 4\(\sqrt{2}\)
D. 3
E. 1