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Mathematics 19 Online
OpenStudy (xanthe):

(3x)^lg3=(4x)^lg4

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):

\[\large 3x = (4x)^{\log_3 4}\]

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):

\[\LARGE x^{1-\log_34}=\frac{4^{\log_34}}3\]

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):

\[\LARGE x^{\log_3\frac34}= \frac{4^{\log_34}}{3}\] \[\LARGE x = \frac{4^{\frac{\log_34}{\log_3\frac34}}}{3^{\frac1{\log_3\frac34}}}\]

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 |dw:1368956390117:dw|

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