how do you solve ln(x-6)-2ln5=ln4x

Algebra
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how do i solve this problem

May 28th, 2015

the equation can be written as ln(x-6)-ln 5^2=ln 4x

 ln(x-6)-ln 25=ln 4x

from the law of natural logs, ln(a)-ln(b)=ln(a/b)

therefore, ln((x-6)/25)=ln 4x

for the equation to hold, 

(x-6)/25=4x

x-6=25(4x)

x-6=100x

-6=100x-x

-6=99x

x=-6/99

x=-2/33

May 28th, 2015

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May 28th, 2015
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