Use the Laws of Logarithms to rewrite $\ln ( e / x )$ in a form with no logarithms of products, quotients, or powers.
A) $2 + 2 \ln x$
B) $1 - \ln x$
C) $e \ln x$
D) $- \ln x$
E) $1 + \ln x$

Question

Quizplus · Accepted Answer

Using the property $\ln(a/b) = \ln(a) - \ln(b)$, we can rewrite the given expression as $\ln(e) - \ln(x) = 1 - \ln(x)$. This form has no logarithms of products, quotients, or powers.

Use the Laws of Logarithms to Rewrite ln⁡(e/x)\ln ( e / x )ln(e/x)

Use the Laws of Logarithms to Rewrite $\ln ( e / x )$