anonymous
  • anonymous
expand using the properties of logarithms: log5 y(x+2)/x^4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
when expanding a logarithm when two terms are being multiplied together the sum of the logarithm of the two taken seperately is equal for example log base 5 of x(y) is equal to log base 5 of x + log base 5 of y
anonymous
  • anonymous
when a term is being divided then you use the difference of the log with the same base for example log base 5 of x/y is equal to log base 5 of x - log base 5 of y
anonymous
  • anonymous
does that help?

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anonymous
  • anonymous
\[\log5 y(x+2)/x^4 = \log5 y(x+2) - \log5x^4 = \log5y+\log5(x+2) - 4\log5x\]
anonymous
  • anonymous
im so lost
anonymous
  • anonymous
bubbamurphy your answer gets cut off
anonymous
  • anonymous
Sorry the above reply got cut out. \[\log5y(x+2) - \log5x^4 = \log5y + \log5(x+2) - 4\log5x\]
anonymous
  • anonymous
The righthand side of that last post should be your final answer (assuming by log5 you meant base 5)
anonymous
  • anonymous
and yes then you move the power to the front
anonymous
  • anonymous
as bubbamurphy did
anonymous
  • anonymous
when two or multiple things are being multiplied together in the same log you can separate them with addition when they are being divided then you may use subtraction
anonymous
  • anonymous
i did thankyou
anonymous
  • anonymous
-4log5x is my answer?
anonymous
  • anonymous
the whole left side of the equation that bubbamurphy posted is your completed answer
anonymous
  • anonymous
*right side
anonymous
  • anonymous
sorry
anonymous
  • anonymous
no thankyou allot
anonymous
  • anonymous
no problem any other questions while i am here?
anonymous
  • anonymous
expand the expression: log3(x^-2y^3)
anonymous
  • anonymous
\[\log3(x^(-2y^3) = -2y^3\log3x\]
anonymous
  • anonymous
what is above the first x?
anonymous
  • anonymous
the way that you wrote the problem x was to the power of -2y^3
anonymous
  • anonymous
yes
anonymous
  • anonymous
so if x is to the power of that entire quantity you can move that quantity to the front of the logarithm
anonymous
  • anonymous
quantity meaning -2y^3
anonymous
  • anonymous
that is a parenthesis above the first x
anonymous
  • anonymous
there should be a end parenthesis after the -2y^3
anonymous
  • anonymous
thankyou for your help
anonymous
  • anonymous
No problem. :)
anonymous
  • anonymous
do you have time for more?

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