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.
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 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