# Question #04717

##### 2 Answers

Mar 23, 2017

Given:

Subtract

Use the property of logarithms where subtracting is equivalent to division within the argument:

Make both sides the exponent of e:

The logarithm and the exponential on the left side cancel and the right side becomes 1:

Now, it is easy to solve for x:

Check:

This checks.

Mar 24, 2017

#### Explanation:

The contents of the two logarithms, which are the only things present on either side of the equation, are equal:

#(x-5)/(x-1)=6#

#=>x-5=6(x-1)#

#=>x-5=6x-6#

#=>1=5x#

#=>x=1/5#