Why do we get rid of the $-$ sign in this equation I am finding interquartile ranges for the exponential function cdf as part of a project for university:
$$Q\left(\frac{1}{4}\right) = -\frac{1}{\lambda}\ln\left(1-\frac{1}{4}\right)= -\frac{1}{\lambda}\ln\left(\frac{3}{4}\right)=  \frac{1}{\lambda}\left(\ln(4) - \ln(3)\right)$$ I do understand the quotient rule of logarithm but the rule states that if I have $\ln(\frac{3}{4})$ this should be the same as $\ln(3) - \ln(4)$ but in the above case is $\ln(4)-\ln(3)$, furthermore, where did the $(-)$ sign go at the end of the equation for $\frac{1}{\lambda}$? what am I missing?

Well I think that they use
$-\ln(\frac{3}{4}) = -(\ln(3)-\ln(4)) = \ln(4)-\ln(3)$
but they did it in one step and everything is multiplied by $\frac{1}{\lambda}$.
