If V = plog\(_x\), (M + N), express N in terms of X, P, M and V

Assessment: WAEC SSCE - Further Mathematics - 2020 (Objective) Subject: Further Mathematics

Question 1 Report

If V = plog\(_x\), (M + N), express N in terms of X, P, M and V

Answer Details
The given equation is V = plog\(_x\), (M + N). We need to express N in terms of X, P, M, and V. We can start by isolating the term containing N: V = plog\(_x\), (M + N) V = p(log\(_x\) M + log\(_x\) N) V - plog\(_x\) M = plog\(_x\) N log\(_x\) N = (V - plog\(_x\) M) / p Now we can solve for N by exponentiating both sides with base x: N = x\(^{\frac{V - plog_x M}{p}}\) Therefore, the expression for N in terms of X, P, M, and V is N = x\(^{\frac{V - plog_x M}{p}}\). Option (A) is the correct answer.

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