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.