Mathematics
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OpenStudy (xanthe):
(3x)^lg3=(4x)^lg4
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terenzreignz (terenzreignz):
this looks terrible XD
OpenStudy (xanthe):
:D
terenzreignz (terenzreignz):
Well...
\[\Large 3x = (4x)^{\frac{\lg4}{\lg 3}}\]
terenzreignz (terenzreignz):
But I'm guessing you already did this? :D
terenzreignz (terenzreignz):
\[\large 3x = (4x)^{\log_3 4}\]
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OpenStudy (xanthe):
Yes but i lost my ans sheet-.-
OpenStudy (xanthe):
The solutions I mean.Bt ans will be(1/12)
terenzreignz (terenzreignz):
Okay... new plan...
\[\LARGE x = \frac{4^{\log_34}x^{\log_34}}{3}\]
terenzreignz (terenzreignz):
\[\LARGE \frac{x}{x^{\log_34}}=\frac{4^{\log_34}}3\]
terenzreignz (terenzreignz):
\[\LARGE x^{1-\log_34}=\frac{4^{\log_34}}3\]
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OpenStudy (xanthe):
X=1/12 Thats the answer though
OpenStudy (zzr0ck3r):
Its late
OpenStudy (xanthe):
then its ok
OpenStudy (xanthe):
I think ill just solve this later
terenzreignz (terenzreignz):
\[\LARGE x^{\log_3\frac34}= \frac{4^{\log_34}}{3}\]
\[\LARGE x = \frac{4^{\frac{\log_34}{\log_3\frac34}}}{3^{\frac1{\log_3\frac34}}}\]
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OpenStudy (xanthe):
Cool so where do we go from therexD
terenzreignz (terenzreignz):
Well, change of base again...
\[\LARGE x = \frac{4^{\log_{\frac34}4}}{3^{\log_{\frac34}3}}\]
terenzreignz (terenzreignz):
This really brings back memories... this was destiny...
OpenStudy (xanthe):
lol.Im stuck at here
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