Question

ln(2t+7)=ln3-ln(t+1)

Please help me solve for x.

Answer 1

You mean solve for t? Let's walk thru it together.
Do you know the properties of logarithms?

Answer 2

Oops yeah t .. I think I do.

Answer 3

Ok lets use the quotient property on the right hand side of the equation.
ln(2t+7) = ln(3/t+1)

Answer 4

Do you know how i got this?

Answer 5

Yes sir

Answer 6

Now I can just drop the ln. Correct?

Answer 7

Yes you can I was looking for the name of the property, but can't find it. But yes that what you do drop the 'ln' and solve for 't'

Answer 8

So you should have: 2t+7 = 3/(t+1).
Do you know how to find t from here?

Answer 9

Yes . Thank you for your help.

Answer 10

Sure no problem.