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sam (.sam.):
\[\huge 14\log _{14}x\]
is it?
OpenStudy (anonymous):
im not to sure i have a pdf it may alivate things
OpenStudy (anonymous):
number 9
OpenStudy (anonymous):
my teacher makes these hard to read
sam (.sam.):
its \[\huge 14\log _{14}x\]
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so hang on
OpenStudy (anonymous):
i would first use the power property correct to put the 14 before the log over the x right?
OpenStudy (anonymous):
i get that right?
sam (.sam.):
There's nothing to simplify unless making the base 10
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sam (.sam.):
So, use the rule
\[\huge \log _{a}b=\frac{\log _{c}b}{\log _{c}a}\]
===========================================
\[\huge 14(\log _{14}x)=14(\frac{logx}{\log14})\]
OpenStudy (anonymous):
so change of base?
sam (.sam.):
yep, then
\[14\frac{logx}{\log14}=14\log\frac{x}{14}=14(logx-\log14)\]
OpenStudy (anonymous):
okay that makes some sense now on the pdf can you please take a look at number 10?
OpenStudy (campbell_st):
its simply
\[\log _{14} x^{14} \]
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sam (.sam.):
\[\huge \log _9 x=5\]
\[\huge x=9^{5}\]
OpenStudy (anonymous):
you jsut changed it into exponential
sam (.sam.):
yes
sam (.sam.):
\[\huge \log _{a}b=c, b=a ^{c}\]
sam (.sam.):
The first formula that you learn logarithms
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sam (.sam.):
when*
OpenStudy (anonymous):
yeah but it says to find the solution
sam (.sam.):
\[x=9^{5}=59049\]
OpenStudy (anonymous):
oh okay that makes sense
OpenStudy (dumbcow):
@.sam loga/logb does not equal log(a/b)
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