Logarithms - Jamb Mathematics Past Questions and Answers

Question 11:

• JAMB 1978

Assuming log_e 4.4 = 1.4816 and log_e 7.7 = 2.0142, then the value of log_e \(\frac{7}{4}\) is

A. 0.5326
B. 3.4958
C. 0.4816
D. 0.0142
E. 1.3594

Question 12:

• JAMB 1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

A. -3
B. 3
C. \(\frac{3}{5}\)
D. \(\frac{-3}{2}\)
E. 1n 6 - 2 1n 5

Question 13:

• JAMB 1979

Find the value of log₁₀\(\frac{1}{40}\), given that log₁₀4 = 0.6021

A. 1.3979
B. 2.3979
C. 1.6021
D. 2.6021

Question 14:

• JAMB 1979

What is log₇(49^a) - log₁₀(0.01)?

A. \(\frac{49^a}{100}\)
B. \(\frac{a}{2}\) + 2
C. 7^2a + 2
D. 2a + 2
E. \(\frac{2a}{2}\)

Question 15:

• JAMB 1980

Simplify \(\frac{log_{10}8}{log_{10}4}\)

A. Log10²
B. Log10⁴
C. \(\frac{3}{2}\)
D. 2
E. None of the above