Question

What is the value of x if e3x+6=8

Answer 1

2/3

Explanation:

I'm not sure of the e is actually there, so I'm answering without it being there.

3x+6=8

3x=8-6

3x=2

x=2/3

Hope the working helped you understand what was going on, if not, I'll edit and give a more detailed explanation. Good luck with homework :)

Answer 2

x = 1/3 ln(2)

Explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)