SOLUTION: 7+3In x=6

Question 384987: 7+3In x=6
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
7 + 3ln(x) = 6
First let's isolate the logarithm. Subtracting 7 from each side we get:
3ln(x) = -1
Divide both sides by 3:

Once we have isolated (or "solved for") the logarithm, the next step is to rewrite the equation in exponential form. In general is equivalent to . Using this pattern on your equation (and remembering that the base of the ln logarithm is e) we get:

This is an exact expression for the solution to your equation. If you need a decimal approximation then you can use your calculator on the exact expression. (If your calculator has a button for the number e and if it has buttons for parentheses you can just type in:
e^(-1/3)
If your calculator has no buttons for parentheses, use
e^-0.33333333
If your calculator has no buitton for e, use
2.7182818284590452353602874713527^-0.33333333
(Round off these decimals as you see fit.)
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