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

Question 181:

• JAMB 2014

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

A. 3\(\sqrt{6} - 7\)
B. 3\(\sqrt{6} + 7\)
C. 3\(\sqrt{6} - 1\)
D. 3\(\sqrt{6} + 1\)

Question 182:

• JAMB 2014

Evaluate Log₂8 + Log₂16 - Log₂4

A. 3
B. 4
C. 5
D. 6

Question 183:

• JAMB 2015

Simplify log₁₀1.5 + 3 log₁₀2 − log₁₀0.3

A. Log₁₀4
B. Log₁₀40
C. Log₁₀-40
D. Log₁₀4^-

Question 184:

• JAMB 2015

If log₅20 = x, find x

A. 1.761
B. 1.354
C. 1.861
D. 2.549

Question 185:

• JAMB 2015

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

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