MathDB
Solving an Expression with an Exponent for n

Source:

June 13, 2009
logarithms

Problem Statement

If P \equal{} \frac{s}{(1 \plus{} k)^n} then n n equals: (A)\ \frac{\log{\left(\frac{s}{P}\right)}}{\log{(1 \plus{} k)}}\qquad (B)\ \log{\left(\frac{s}{P(1 \plus{} k)}\right)}\qquad (C)\ \log{\left(\frac{s \minus{} P}{1 \plus{} k}\right)}\qquad \\ (D)\ \log{\left(\frac{s}{P}\right)} \plus{} \log{(1 \plus{} k)}\qquad (E)\ \frac{\log{(s)}}{\log{(P(1 \plus{} k))}}