Why this ln expresion equals this one

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Working with these expressions, in terms of math operations how you determine that both are the same when you have. x=3/4 and the following expression -1/ln(1-(3/4)) == 1/ln(4) Ln expresion

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It's easy, you just have to use the properties of the logarithm

$\frac{-1}{\ln(1-\frac{3}{4})}=\frac{-1}{\ln(1/4)}=\frac{-1}{\underbrace{\ln(1)}_{=0}-\ln(4)}=\frac{-1}{-\ln(4)}$