# Question #c3090

##### 1 Answer

Apr 5, 2016

#### Explanation:

Use the identity

#ln(a) - ln(b) -= ln(a/b)#

Therefore,

#ln(4x) - ln(x-1) = ln((4x)/(x-1))#

#= ln(6)#

Since

#ln((4x)/(x-1)) = ln(6)#

#e^{ln((4x)/(x-1))} = e^{ln(6)}#

#(4x)/(x-1) = 6#

Simplify the equation

#(4x)/(x-1) = 6#

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

#2x = 3(x-1)#

#= 3x - 3#

#0 = x - 3#

#x = 3#