SOLUTION: how do i solve for x? ln(x+3)-2=ln(x+1)

Question 4730: how do i solve for x? ln(x+3)-2=ln(x+1)
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
re-arrange to give . Now, we can use properties of logs to re-write this as:

. Now we have just 1 log, we can raise everything to the power of e: this is the opposite processes to ln, just like + and - or x and divide are opposites:

--> e is just a number like any other. Do not be scared of it.

so

All you have done here is mess around with the order of the equation: manipulated it. Nothing too difficult. Only this you needed to know were a couple of log rules.

You can work this out on a calculator if you need to, but your answer will be an approximation, since you will round up: this algebraic version is the EXACT answer.

jon.

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