We are given that log(x+1) (x^2+3x-14)=2.
We know that log(a) b = c => b = c^a
log(x+1) (x^2+3x-14)=2
=> x^2 + 3x - 14 = (x + 1)^2
=> x^2 + 3x - 14 = x^2 + 1 + 2x
=> x = 15
The required value of x is 15.
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.