SOLUTION: ln(5x-2)=12 not sure how you work this one please advise thanks

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Question 171031: ln(5x-2)=12
not sure how you work this one please advise
thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Remember the basic definition of a logarithm: "The logarithm of a number (5x-2) is the power (12) to which the base (e) must be raised to equal the number", so we can express this as:
ln%285x-2%29+=+12 ---> e%5E12+=+%285x-2%29 Ok?
Now we can solve for x.
e%5E12+=+5x-2 Add 2 to both sides.
e%5E12%2B2+=+5x Divide both sides by 5.
%28e%5E12%2B2%29%2F5+=+x...and if you need a numeric answer, then find e%5E12+=+162754.79 in your calculator to get:
x+=+%28162754.8%2B2%29%2F5
x+=+32551.4 approximately.