Question

Solve for the exact value of x
4ln(8x−2)+2= 10

Answer 1

9514 1404 393

Answer:

x = (1/4) +(1/8)e^2

Explanation:

Undo what is done to x.

4ln(8x-2) +2 = 10

4ln(8x -2) = 8 . . . . . . . subtract 2

ln(8x -2) = 2 . . . . . . . . divide by 4

8x -2 = e^2 . . . . . . . . . take antilogs

8x = 2 +e^2 . . . . . . . . add 2

x = (2 +e^2)/8 . . . . . . divide by 8

x = (1/4) +(1/8)e^2