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How do you solve #Ln (x) - Ln (x-1) = Ln (3)#?

1 Answer

Dec 30, 2015

#x=3/2#

Explanation:

#ln(x)-ln(x-1)=ln3#
We know that:

#ln(y/z)=lny-lnz#

Here #y=x and z=x-1#
#implies ln(x/(x-1))=ln3#

#implies (x/(x-1))=3#

#implies x=3(x-1)#
#implies x=3x-3#
#implies 2x=3#
#implies x=3/2#

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