SOLUTION: Good Afternoon, I am trying to work out some problems but I don't know what I am doing. Can someone please help me? Here is the question. log8x=2/3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Good Afternoon, I am trying to work out some problems but I don't know what I am doing. Can someone please help me? Here is the question. log8x=2/3      Log On


   

Question 22248: Good Afternoon, I am trying to work out some problems but I don't know what I am doing. Can someone please help me? Here is the question.
log8x=2/3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
log%28%288x%29%29+=+2%2F3 Apply the product rule for logaritms: logbMN = logbM + logbN
log%28%288x%29%29+=+log%28%288%29%29+%2B+log%28%28x%29%29 So:
log%28%288%29%29+%2B+log%28%28x%29%29+=+2%2F3 Subtract log(8) from both sides.
log%28%28x%29%29+=+2%2F3+-+log%28%288%29%29 Rewrite in exponential form: logbx = y means b^y = x
x+=+10%5E%28%282%2F3-log8%29%29 You can do this on your calculator.
x+=+0.5801986
Check:
log%28%288%280.5801986%29%29%29+=+0.666666
2%2F3+=+0.666666