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

FURTHER MATHEMATICS
WAEC 2020

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

  • A. N = X\(^{\frac{v}{p}}\) - M
  • B. N = X\(^{\frac{p}{v}}\) - M
  • C. N = X\(^{\frac{v}{p}}\) + M
  • D. N = X\(^{\frac{p}{v}}\) + M

Correct Answer: A. N = X\(^{\frac{v}{p}}\) - M

Explanation

\(\frac{v}{p} = \frac{p}{p} log _x(M + N)\)

\(\log_x(M + N) = \frac{v}{p}\)

\(x^{\frac{v}{p}} = M + N\)

N = X\(^{\frac{v}{p}}\) - M



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