Question

Isolve for x: ln(x^2-6x-16)= 0 . help me beacuse I do not have the idea to work it out.

Answer 1

Solve for the value of x: ln(x^2-6x-16)=5. Please help me work it out because I do not have an idea in work it out.

Answer 2

(x^2-6x-15)=e^5

e^5 is approximately 148.41

so x^2-6x=148.41-15

x^2-6x = 133.41

x-6x = sqrt(133.41)

-5x = 11.55

x = 11.55/-5

x = 2.31

Answer 3

unfortunately Sunny made several errors,
Try to sub in x = 2.31, it does not work

form his/hers : (x^2-6x-16)=e^5 ---- Sunny had -15

x^2 - 6x = 148.413 + 16
complete the square by adding 9 to both sides
x^2 - 6x + 9 = 148.413+16+9 = 173.413
(x-3)^2 = 173.413
x-3 = ±√173.413 = ± 13.1686

x = 3 ± 13.1686
x = 16.1686 or x = -10.1686

both work when subbed into the original equation