SOLUTION: How would I solve: ln ( x + 3 ) - ln ( x + 2 ) = 5 I know that you have to divide so I got: ln ( x+3/x+2) = 5 but I couldn't get any farther than that.

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Question 258691: How would I solve:
ln ( x + 3 ) - ln ( x + 2 ) = 5
I know that you have to divide so I got: ln ( x+3/x+2) = 5 but I couldn't get any farther than that.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


You just need to learn how to change a logarithm equation 
to an exponential equation:

If it's a log base b equation like this:



you change it to this exponential form:



If it's a natural log equation, (like yours), like this:



you change it to this exponential form:



You can think of the instructions
this way:


Drop the log on one side and put the 
other side as an exponent of the base.


So when you got here:



You drop the "ln" on the left and put the right side
as an exponent of "e" like this:



Then you clear of fractions by multiplying
both side by 



Distribute on the right:



Get the x-terms on the left
and the other terms on the right:



Factor out x on the left:



Divide both sides by 



You can either leave it like that or
get your calculator and punch it out
and get the decimal approximation:



Edwin


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