|Dec16-09, 01:36 AM||#1|
1. The problem statement, all variables and given/known data
How do i solve for the subscript in:
(log (sub5)) / 2 = log(sub x)
2. Relevant equations
3. The attempt at a solution
the original question was:
solve for x.
however i dont get how to solve for a subscript....
|Dec16-09, 01:49 AM||#2|
i don't get your question:
|Dec16-09, 01:58 AM||#3|
|Dec16-09, 02:21 AM||#5|
|Dec16-09, 03:58 AM||#7|
Warning, shocklightnin. Icystrike may have misunderstood your question and given a wrong answer!
I would interpret your question, since you specifically stated that "5" and "x" were "subscripts" (I would say "bases") as
for some a, what is x?"
Then icystrike is answering a completely different question:
which is, in a sense, the "reverse" of the original question!
If my interpretion is correct, since [itex]log_x(a)= log(a)/log(x)[/itex] and [itex]log_5(a)= log(a)/log(5)[/itex], where "log" on the right of each equation can be to any base, it follows that
Now the "log(a)" terms cancel out and we have
That is the equation you want to solve.
|Dec16-09, 08:17 AM||#8|
|Dec16-09, 08:27 AM||#9|
[tex]\log_x 7 \times \log_7 5 = 2[/tex]
and as far as I can tell it was not yet mentioned...
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