JAMB Logarithm of any positive number to a given base Mathematics Past Questions, Answers & Explanations - Mathematics

Jamb Mathematics Questions - Logarithm of any positive number to a given base

Question 1:

Given \(\sin 58° = \cos p°\), find p.

Question 2:

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

Question 3:

If M varies directly as N and inversely as the root of P. Given that M = 3, N = 5 and P = 25. Find the value of P when M = 2 and N = 6.

Question 4:

Given the matrix \(A = \begin{vmatrix} 3 & -2 \\ 1 & 6 \end{vmatrix}\). Find the inverse of matrix A.

A \(\begin{vmatrix} 6 & 2 \\ 1 & 6 \end{vmatrix}\)
B \(\begin{vmatrix} \frac{2}{11} & \frac{1}{12}\\ \frac{3}{20} & \frac{1}{10} \end{vmatrix}\)
C \(\begin{vmatrix} -3 & 2 \\ -1 & -6 \end{vmatrix}\)
D \(\begin{vmatrix} \frac{3}{10} & \frac{1}{10} \\ \frac{-1}{20} & \frac{3}{20}\end{vmatrix}\)

Question 5:

Calculate 243\(_{six}\) — 243\(_{five}\) expressing your answer in base 10