SOLUTION: Express y in terms of x, given that log 3 = 1/3 log (y/2) ...?

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Question 744590: Express y in terms of x, given that log 3 = 1/3 log (y/2) ...?
Found 5 solutions by lynnlo, ikleyn, Edwin McCravy, timofer, mccravyedwin:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
Express y in terms of x, given that log 3 = 1/3 log (y/2) ...?
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It is impossible to do, since 'x', by your mistake, is omitted in the equation
(is absent there, i.e. is lost).

Your post is FATALLY DEFECTIVE and makes no sense.

Learn to write correctly . . .



Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
 
I think you meant:

log%28%283x%29%29+%22%22=%22%22+expr%281%2F3%29log%28%28y%2F2%29%29

Multiply both sides by 3:

3log%28%283x%29%29+%22%22=%22%22+log%28%28y%2F2%29%29

log%28%28%283x%29%5E3%29%29+%22%22=%22%22+log%28%28y%2F2%29%29

%283x%29%5E3+%22%22=%22%22+y%2F2

27x%5E3+%22%22=%22%22+y%2F2

Multiply both sides by 2:

54x%5E3+%22%22=%22%22+y

y+%22%22=%22%22+54x%5E3

Edwin

Answer by timofer(159) About Me  (Show Source):
You can put this solution on YOUR website!
You did not show any x.
Also you miss some grouping symbols but this not sure.
log%283%29=%281%2F3%29log%28y%2F2%29
log%28y%2F2%29=3%2Alog%283%29
log%28y%29-log%282%29=3%2Alog%283%29
log%28y%29=log%282%29%2B3%2Alog%283%29
and maybe you could go one more step.

Answer by mccravyedwin(421) About Me  (Show Source):
You can put this solution on YOUR website!
 
Or you could have meant this:

log%28%283%5Ex%29%29+%22%22=%22%22+expr%281%2F3%29log%28%28y%2F2%29%29

Multiply both sides by 3

3%2Alog%28%283%5Ex%29%29+%22%22=%22%22log%28%28y%2F2%29%29

log%28%28%283%5Ex%29%5E3%29%29+%22%22=%22%22log%28%28y%2F2%29%29

%283%5Ex%29%5E3%29+%22%22=%22%22y%2F2

3%5E%283x%29+%22%22=%22%22y%2F2

%283%5E3%29%5Ex+%22%22=%22%22y%2F2

27%5Ex+%22%22=%22%22y%2F2

Multiply both sides by 2

2%2A27%5Ex+%22%22=%22%22y

y%22%22=%22%222%2A27%5Ex

Edwin