Rom: Quote: 3(2)^X=9
3*2 X = 9 ; divide both sides by 3
2 X = 3 ; take the log base 2 of both sides
LOG 2(2 X) = LOG 2(3) ; use definition of logarithm of a base
X = LOG 2(3)
Rom's answer is really good.
I just want to add a little
2
X = 3
You can just take the log of both sides using any base. You calc deals with base 10 and base e so I'd choose one of those.
log 2
X = log 3
X*log 2 = log 3
x = log3 / log2
and then you can estimate it from your calc.
NOTE
Rom's answer was X = LOG
2(3)[/quote]
Using change of base rule these two answers are identical.
you might like to keep this reference page close by
http://en.wikipedia.org/wiki/List_of_logarithmic_identities
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