SOLUTION: 2+ln(x-3)=10

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Question 271271: 2+ln(x-3)=10
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
To solve logarithmic equations where the variable is in the argument, you want to start by geeting the equation into one of the following forms:
log(variable-expression) = other expression
or
log(variable expression = log(other-expression)

We can achieve the first form by subtracting two from each side:
ln%28x-3%29+=+8
And now that the equation is in the first form, we proceed by rewriting the equation in exponential form:
x-3+=+e%5E8
By rewriting the equation in exponential form we have extracted the variable from the argument of a logarithm. We can now solve for x by adding 3 to each side:
x+=+e%5E8+%2B+3
This is an exact answer for the problem. If you want a decimal approximation you can use your calculator on the right side. (If your calculator does not have a button for e, use 2.7182818284590452353602874713527 (or some rounded-off version of this number).