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

Question 106:

• JAMB 1990

Simplify 3 log₆9 + log₆12 + log₆64 - log₆72

A. 5
B. 7776
C. Log₆31
D. (7776)₆

Question 107:

• JAMB 1991

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

A. 1 - 4 log3
B. -1 + 2 log 3
C. -1 + 5 log2
D. 1 - 2log 2

Question 108:

• JAMB 1991

Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)

A. - \(\frac{1}{2}\sqrt{5}\)
B. \(\frac{1}{2}\sqrt{5}\)
C. -- \(\frac{1}{4}\sqrt{5}\)
D. 5

Question 109:

• JAMB 1991

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

A. 5 - 2\(\sqrt{6}\)
B. 5 + 2\(\sqrt{6}\)
C. 5\(\sqrt{6}\)
D. 5

Question 110:

• JAMB 1991

Simplify \(\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}}\)

A. -2x - 2\(\sqrt{x (1 + x)}\)
B. 1 + 2x + 2\(\sqrt{x (1 + x)}\)
C. \(\sqrt{x (1 + x)}\)
D. 1 + 2x - 2\(\sqrt{x (1 + x)}\)