Assuming x and y are positive,use properties of logarithms to write the expression as a sum or difference of a logarithm or multiples of logarithms. In cubed(x)/cubed(y)?
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OpenStudy (baby456):
@jim_thompson5910
OpenStudy (baby456):
@zepdrix
OpenStudy (baby456):
@mathmale
jhonyy9 (jhonyy9):
do you think it hence
ln x^3 /y^3 = ?
OpenStudy (baby456):
cubed root
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jhonyy9 (jhonyy9):
do you know this property of logarithms
log a -log b = log (a/b)
log a^x = xlog a
log a +log b = log a*b
OpenStudy (baby456):
yep
jhonyy9 (jhonyy9):
ok. so than just use the necessary
jhonyy9 (jhonyy9):
do you mean cuberoot of x divide cuberoot y ?
OpenStudy (baby456):
so the quoitent rule
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OpenStudy (baby456):
yes
jhonyy9 (jhonyy9):
\[\ln \sqrt[3]x / \sqrt[3]{y} =\]
jhonyy9 (jhonyy9):
in this way ?
OpenStudy (baby456):
inx/3-iny/3
jhonyy9 (jhonyy9):
hence ?
just ln x/3 -ln y/3 = ?
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jhonyy9 (jhonyy9):
cubed x dont mean x^3 ?
jhonyy9 (jhonyy9):
just bc. you wrote in the text of your exercise cubed x and cubed y
OpenStudy (baby456):
ok so is it 1/3(in x- In y)
jhonyy9 (jhonyy9):
this is just than you wan saying that your exercise is
ln x^(1/3) -ln y^(1/3) what is equal ln (cuberoot x / cuberoot y )
OpenStudy (baby456):
3
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jhonyy9 (jhonyy9):
what mean this 3 ?
OpenStudy (baby456):
i dont know what your are asking
jhonyy9 (jhonyy9):
please clarify how is this your exercise correct ?
jhonyy9 (jhonyy9):
please make a copy past
OpenStudy (baby456):
when you use the quotient rule your trying to subtract
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OpenStudy (baby456):
so ration cube root (x)= 1/3
OpenStudy (baby456):
so 1/3(In x- In y)
jhonyy9 (jhonyy9):
do you think
ln a^x = xln a
ln a^x -ln b^x = xln (a/b)
jhonyy9 (jhonyy9):
ok. ?
jhonyy9 (jhonyy9):
cuberoot x = x^(1/3)
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jhonyy9 (jhonyy9):
do you think it so ?
OpenStudy (baby456):
yes
OpenStudy (baby456):
thats what my teacher taught us is the wayy i am solving it
jhonyy9 (jhonyy9):
so in this case there are
ln (cuberoot x / cuberoot y ) =
ln [x^(1/3) / y^(1/3) ] =
ln ( x/y)^(1/3) =
(1/3)ln x/y
do you think it hence ?
OpenStudy (baby456):
you are confusing me. where is the subtraction.
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jhonyy9 (jhonyy9):
= (1/3)(ln x -ln y) =
= (1/3)ln x/y
jhonyy9 (jhonyy9):
bc. this is a propertie
log a -log b = log a/b
ok. ?
OpenStudy (baby456):
i will ask my teacher because i am confused.
OpenStudy (baby456):
ok
jhonyy9 (jhonyy9):
what is confusably for you ?
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