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

Question 76:

• JAMB 1982

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

A. 2^x(1 + y) = 3
B. 2^x - x(1 + y) = 8
C. X² = 8(1 + y)^x
D. X² - x(1 + y) = 8
E. X² - (1 + y)² = 8

Question 77:

• JAMB 1983

If 0.0000152 x 0.042 = A x 10⁸, where 1 \(\leq\) A < 10, find A and B

A. A = 9, B = 6.38
B. A = 6.38, B = -9
C. A = -6.38, B = -9
D. A = -9, B = -6.38

Question 78:

• 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 79:

• JAMB 1983

If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.

A. M = 4, n = 2
B. M = -4, n = -2
C. M = -4, n =2
D. M = 4, n = -2
E. M = -2, n = 4

Question 80:

• 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