How do you use properties of logarithms to write ln(2/3) in terms of a and b if ln2 = a and ln3 = b?

Jul 6, 2015

$\ln \left(\frac{2}{3}\right) = a - b$

Explanation:

Property: $\ln \left(\frac{x}{y}\right) = \ln x - \ln y$

So

ln(2/3) = ln(2) – ln3

Let $\ln 2 = a$ and $\ln 3 = b$.

Then

ln(2/3) = a – b