Solve ln(5x+5)=2 round to the nearest thousand??

Question

anonymous · Answer

Raise both sides to $e$:
$$e^{\ln(5x+5)} = e^2$$Do you know what happens when you have $e^{\ln(x)}$?

anonymous · Answer

Nice name @Richard_Feynman and explanation :)

anonymous · Answer

@Richard_Feynman  no

anonymous · Answer

The natural log will give you the power you have to raise e to in order to get a particular value, so if you raise e to the power that you have to raise e to to get $5x+5$, it's going to equal $5x+5$, i.e. $e$ cancels out $\ln$.

anonymous · Answer

So from the above equation, you can turn it into
$$5x+5 = e^2$$

anonymous · Answer

so then do you devide everything by 5? @Richard_Feynman

anonymous · Answer

Most people would subtract 5 before dividing but you can do it either way.

anonymous · Answer

You should end up with $x = \frac{e^2}{5} - 1$.