Question

solve for x.

3ln(x-2)=-6

Answer 1

divide both sides by 3 and what do you have?

Answer 2

ln(x-2)=-2

Answer 3

now raise both sides to the power of e

\(e^{ln(x-2)}=e^{-2}\)

the e and ln "cancel" on the left hand side

\(x-2=e^{-2}\)

Answer 4

solve for x

Answer 5

\[x=e ^{-2} +2\]

Answer 6

correct