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

Question 131:

• JAMB 1997

Given that log_a2 = 0.693 and log_a3 = 1.097, find log_a 13.5

A. 1.404
B. 1.790
C. 2.598
D. 2.790

Question 132:

• JAMB 1997

Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)

A. \(\frac{19 + 4\sqrt{25}}{11}\)
B. \(\frac{19 + 4\sqrt{15}}{11}\)
C. \(\frac{19 + 2\sqrt{15}}{11}\)
D. \(\frac{19 + 2\sqrt{15}}{19}\)

Question 133:

• JAMB 1999

If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.

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

Question 134:

• JAMB 1999

Find the value of X if \(\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}\)

A. 3√2+4
B. 3√2-4
C. 3-2√2
D. 4+2√2

Question 135:

• JAMB 1999

Simplify \(\sqrt{\frac{(0.0023 \times 750)}{(0.00345 \times 1.25)}}\)

A. 15
B. 20
C. 40
D. 75