Logarithms - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 1989

Find p in terms of q if \(\log_{3} p + 3\log_{3} q = 3\)

A. (\(\frac{3}{q}\))³
B. (\(\frac{q}{3}\))^{\(\frac{1}{3}\)}
C. (\(\frac{q}{3}\))³
D. (\(\frac{3}{q}\))^{\(\frac{1}{3}\)}

Question 27:

• JAMB 1990

Simplify 3 log₆9 + log₆12 + log₆64 - log₆72

A. 5
B. 7776
C. Log₆31
D. (7776)₆

Question 28:

• 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 29:

• JAMB 1992

Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).

A. N²
B. N
C. \(\frac{1}{n}\)
D. \(\frac{1}{n^2}\)

Question 30:

• JAMB 1993

If 2log₃ y + log₃ x² = 4, then y is

A. 4 - log₃
B. \(\frac{4}{log_3 x}\)
C. \(\frac{4}{x}\)
D. \(\pm\) \(\frac{9}{x}\)