SOLUTION: 6e^3x-6=18

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 6e^3x-6=18      Log On


   

Question 42665: 6e^3x-6=18
Found 2 solutions by rapaljer, Nate:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
6e%5E%283x%29-6=18

Add +6 to each side:
6e%5E%283x%29=+24

Divide both sides by 6:
e%5E%283x%29+=+4

Take the ln of each side:
ln%28e%5E%283x%29%29+=+ln%284%29
3x+=+ln+4

Divide by 3:
x+=+%28ln+4%29%2F3

R^2 at SCC

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
6e%5E%283x%29+-+6+=+18
6e%5E%283x%29+=+24
e%5E%283x%29+=+4
log%28e%2Ce%5E%283x%29%29+=+log%28e%2C4%29
3x%2Alog%28e%2Ce%29+=+log%28e%2C4%29
3x+=+log%28e%2C4%29
x+=+log%28e%2C4%29%2F3
about: 0.4621