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Mathematics 22 Online
OpenStudy (anonymous):

28x = 7 solve.

OpenStudy (kc_kennylau):

Divide both sides by 28

OpenStudy (anonymous):

oh I'm sorry, the x is an exponent @kc_kennylau

OpenStudy (anonymous):

take log on both the sides and then proceed

OpenStudy (anonymous):

so log 28 and log 7? i have to find those to proceed

OpenStudy (anonymous):

nope here are the steps: 1) divide both the sides by 28 2) take log on both sides : you will get x= log(7/28) because log(exp(x))=x

OpenStudy (anonymous):

ohhhhh okay that makes sense lemme try

OpenStudy (praxer):

log28^x=log7 => xlog28=log7 =>x=log7/log28

OpenStudy (kc_kennylau):

\[\Large\begin{array}{rcl} 28^x&=&7\\ \log28^x&=&\log7\\ x\log28&=&\log7\\ x&=&\frac{\log7}{\log28} \end{array}\]

OpenStudy (kc_kennylau):

PostScript: The base of the logarithm does not matter.

OpenStudy (anonymous):

okay i got it wrong way... i thought it as 28 * exp(x) = 7 sorry

OpenStudy (anonymous):

@kc_kennylau is absolutely right.

OpenStudy (anonymous):

how do i read that? lol i can kinda understand it

OpenStudy (kc_kennylau):

?

OpenStudy (anonymous):

your post before you said post script? why are there the brackets and stuff

OpenStudy (kc_kennylau):

oh

OpenStudy (kc_kennylau):

your computer cannot render LaTeX

OpenStudy (anonymous):

well thats strange lol

OpenStudy (kc_kennylau):

That is strange because no setup is needed to render LaTex... try refreshing the page?

OpenStudy (anonymous):

wouldnt it be \[\log_{28} 7 = x \] ?

OpenStudy (kc_kennylau):

@wendylisette \(\large\log_{28}7\) and \(\dfrac{\log7}{\log28}\) are just the same :)

OpenStudy (anonymous):

still isnt working but i think i figured it out by the format you all gave

OpenStudy (anonymous):

ahh okay (: but if you have a ti-84 calculator just plug it in

OpenStudy (anonymous):

lol i dont, but i found one online. a logarithm calculator

OpenStudy (anonymous):

oh ok (:

OpenStudy (kc_kennylau):

@aly_peters I'll try to translate it to plain text: 28^x = 7 log(28^x) = log 7 x log 28 = log 7 x = log 7 / log 28

OpenStudy (kc_kennylau):

http://www.wolframalpha.com is a good calculator :)

OpenStudy (anonymous):

its 0.5839708 it's much longer than that but i cut it off

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