Logarithms - Jamb Mathematics Past Questions and Answers

Question 16:

• JAMB 1980

Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.

A. 1.03
B. 2.31
C. 3.69
D. 10.5
E. 25

Question 17:

• JAMB 1981

If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.

A. 8
B. \(\sqrt{65}\)
C. 4\(\sqrt{2}\)
D. 3
E. 1

Question 18:

• JAMB 1981

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

A. 27
B. 9
C. \(\frac{1}{27}\)
D. 18
E. 81

Question 19:

• JAMB 1983

Simplify log¹⁰ a^{\(\frac{1}{3}\)} + \(\frac{1}{4}\)log₁₀ a - \(\frac{1}{12}\)log₁₀a⁷

A. 1
B. \(\frac{7}{6}\)log₁₀ a
C. Zero
D. 10

Question 20:

• JAMB 1983

Without using tables find the numerical value of log₇49 + log7_{(\(\frac{1}{7}\))}

A. 1
B. 2
C. 3
D. 7
E. 9