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Mathematics 20 Online
OpenStudy (anonymous):

simplify the expression..

OpenStudy (anonymous):

\[f(x)=e ^{8(\ln3)\log_{3}x }\]

OpenStudy (anonymous):

\[\left(\left(e^{\ln 3}\right)^{\log _3 x}\right)^8\]

OpenStudy (dls):

@zarax u made a little mistake

OpenStudy (anonymous):

yep sorry

OpenStudy (anonymous):

\[\left( \left(3\right)^{\log _3 x}\right)^8\]

OpenStudy (anonymous):

\[\left(x\right)^8\]

OpenStudy (anonymous):

what are you guys doing?

OpenStudy (anonymous):

\[f(x) = e ^{8\log_e{3}*\log_3{x} } = e ^{8\log_e{x} }\] \[= e ^{8*lnx}=e ^{\ln(x ^{8})} = (x ^{8})^{lne} = x ^{8}\]

OpenStudy (dls):

yes its x^8 :P

OpenStudy (dls):

Huge

OpenStudy (anonymous):

@DLS you should take down your post... it's not correct

OpenStudy (dls):

what was the wrong step?

OpenStudy (anonymous):

log over log... no negative exponents

OpenStudy (anonymous):

i didn't closely examine the rest

OpenStudy (anonymous):

@DLS how do you make the equations bigger?

OpenStudy (dls):

Huge

OpenStudy (anonymous):

I don't understand. What is "huge"? You add a "huge" word around the expressions?

OpenStudy (dls):

write any equation in the equation editor and add the word "LARGE" , "Large", "large","Huge", depending on you're size,(case sensitive words) and see the magic :)

OpenStudy (anonymous):

It's not working :/

OpenStudy (anonymous):

\[\large e^x\]

OpenStudy (anonymous):

\[\huge e^x\]

OpenStudy (anonymous):

first was large, second was huge \large is the command, \huge is the other

OpenStudy (anonymous):

@pgpilot326 I understand how you got \[(3^{ \log_{3}X})^{8}\] but then how did you get \[x ^{8}\]

OpenStudy (anonymous):

\[\large 3^{\log _3 x} = x\]

OpenStudy (anonymous):

ooooh I see. thank you!

OpenStudy (anonymous):

you're welcome!

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