Question

How do you solve `ln(x+8)-ln7=3`?

Answer 1

`x=7e^3-8 ~= 132.6`

Explanation:

`ln(x+8)-ln7=3`

Since `lna-lnb=ln(a/b)`

`ln(x+8)-ln7 = ln((x+8)/7)`

Since `lna=b -> a=e^b`
Our equation can be written as: `(x+8)/7=e^3`

Hence: `x+8 = 7e^3`

`x=7e^3-8 ~=132.6`