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

Question 171:

• JAMB 2012

If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x.

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

Question 172:

• JAMB 2012

If log₃x² = -8, what is x?

A. \(\frac{1}{3}\)
B. \(\frac{1}{9}\)
C. \(\frac{1}{27}\)
D. \(\frac{1}{81}\)

Question 173:

• JAMB 2012

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

A. \(2\sqrt{6}\)
B. \(4\sqrt{6}\)
C. \(8\sqrt{6}\)
D. \(16\sqrt{6}\)

Question 174:

• JAMB 2012

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

A. {3}
B. {2,3}
C. {2,3,5}
D. {1,2}

Question 175:

• JAMB 2013

Simplify \(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)

A. 3²
B. 3³
C. 3⁵
D. 3