12=24(0.84)t

LexiWalz · Oct 26, 2011, 06:06 PM

How do I solve for t using logs

ebaines · Oct 27, 2011, 08:07 AM

If you mean this:

$ 12 = 24(0.84)t $

Then rearrange:

$ t = \frac {12}{(24)(0.84)} $

Now take the logarithm of both sides:

$ \log(t) = \log (\frac {12}{(24)(0.84)}) $

and apply the rules:
$ \log(ab) = \log (a) + \log (b) \\ \log(a/b) = \log (a) - \log (b) $

Once you get the answer in terms of log(t) = x, then raise both sides to the power of 10, so you get

$ 10^ {log(t)} = 10^x $

and recall that

$ 10^ {log(t)} = t $

Hope this helps.

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