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

Question 21:

• JAMB 2018

Evaluate log\(_2\) 8 — log\(_3\) \(\frac{1}{9}\)

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

Question 22:

• JAMB 2017

Simplify 3 \(^{n − 1}\) x \(\frac{27^{n + 1}}{81^n}\)

A. 3\(^{2n}\)
B. 9
C. 3ⁿ
D. 3 \(^{n + 1}\)

Question 23:

• JAMB 2017

If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}}= m + n \sqrt{6}\),
find the values of m and n respectively

A. 1, − 2
B. − 2, n = 1
C. \(\frac{-2}{5}\), 1
D. \(\frac{2}{3}\)

Question 24:

• JAMB 2016

Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form

A. 1.36 x 10^-4
B. 1.36 x 10^-3
C. 1.36 x 10^-1
D. 1.36 x 10^-2

Question 25:

• JAMB 2016

Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

A. \(\frac{23}{5}\)
B. -\(\frac{23}{5}\)
C. \(\frac{1}{8}\)
D. \(\frac{21}{7}\)