Logarithmic Functions

If \displaystyle \frac{\ln {p}}{a}=\frac{\ln {q}}{b}=\frac{\ln {r}}{c}=t, prove that \displaystyle \frac{r^{2}}{pr}=t^{2b-a-c}.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Chapter II Miscellaneous Examples, Question 9, p. 33)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

Leave a Reply