Mathematics
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OpenStudy (anonymous):
am I wrong?!
2(log5 x + 3 log5 y − 5 log5 z)
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OpenStudy (kc_kennylau):
What did you answer? :)
OpenStudy (anonymous):
OpenStudy (anonymous):
it says I'm wrong but I thought I was right
OpenStudy (kc_kennylau):
lemme see...
OpenStudy (kc_kennylau):
(sorry it'll take more time, since *.tiff is a strange extension)
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OpenStudy (anonymous):
oh its Mac sorry I used the grab application
OpenStudy (kc_kennylau):
oh that's just a careless mistake, since it's \(-\log_5z^{10}\) instead of \(+\log_5z^{10}\)
OpenStudy (kc_kennylau):
understand? :)
OpenStudy (anonymous):
wait what do you mean?
OpenStudy (kc_kennylau):
i mean that it's \(\large\log_5x^2+\log_5y^6\color{red}-\log_5z^{10}\) instead of \(\large\log_5x^2+\log_5y^6\color{red}+\log_5z^{10}\)
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OpenStudy (anonymous):
I get it but it stills tells me that I'm incorrect
OpenStudy (campbell_st):
well I thing your answer may need to be expressed as a fraction
\[\log_{5}(\frac{x^2y^6}{z^{10}})\]
OpenStudy (campbell_st):
or perhaps
\[\log_{5}(\frac{xy^3}{z^5})^2\]
OpenStudy (kc_kennylau):
yep exactly
OpenStudy (kc_kennylau):
@campbell_st use \left( and \right) instead of ( and ):p
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OpenStudy (anonymous):
since I have you both here can you help me with one more?
OpenStudy (kc_kennylau):
ofc :D
OpenStudy (anonymous):
ln 5\[\sqrt[5]{8r^{7}s}\]sqrt8r^7 s
OpenStudy (anonymous):
the middle part haha I messed up
OpenStudy (kc_kennylau):
wat?
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OpenStudy (kc_kennylau):
so it's \(\Huge\sqrt[5]{8r^7s}\)?
OpenStudy (anonymous):
yes sir
OpenStudy (kc_kennylau):
and what do i have to do?
OpenStudy (anonymous):
expand it forgot to add that haha
OpenStudy (kc_kennylau):
that's the simplest form and the complex-est form what do you want lol
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OpenStudy (anonymous):
I expand it but it wouldn't except it :(
OpenStudy (anonymous):
Use the Laws of Logarithms to expand the expression
OpenStudy (kc_kennylau):
you mean expand \(\Large\log\sqrt[5]{8r^2s}\)?
OpenStudy (anonymous):
no its 8r^7
OpenStudy (kc_kennylau):
so it's expand \(\Large\log\sqrt[5]{8r^7}\)?
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OpenStudy (anonymous):
plus an s at the end with the square root just like how you had it before but instead of a 2 its a 7 then a s but is not an exponent
OpenStudy (kc_kennylau):
can you express that...
OpenStudy (kc_kennylau):
so it's \(\Large\log\sqrt[5]{8r^7s}\)?
OpenStudy (anonymous):
Exactly like that
OpenStudy (kc_kennylau):
note that \(\Huge\sqrt[\color{green}n]{\color{blue}x}=\color{blue}x^{\frac1{\color{green}n}}\)
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OpenStudy (kc_kennylau):
so \(\large\log\sqrt[5]{8r^7s}=\log(8r^7s)^\frac15=\frac15\log(8r^7s)\)
OpenStudy (anonymous):
Nope it won't take that :(
OpenStudy (kc_kennylau):
what are your options brb
OpenStudy (anonymous):
It locked out so I have no more options but thanks for everything and your time :)
OpenStudy (kc_kennylau):
no problem :)