SOLUTION: Write 2log base 2 t + 4log base 2 r-2/3 as a single logarithm Write log base 5 (x^4*y^3/z^7) in terms of x, y, and z

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Question 600476: Write 2log base 2 t + 4log base 2 r-2/3 as a single logarithm
Write log base 5 (x^4*y^3/z^7) in terms of x, y, and z

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write 2log base 2 t + 4log base 2 r-2/3 as a single logarithm
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2log2(t) + 4log2(r-(2/3))
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log2(t^2) + log2(r-(2/3))^4
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= log2[t^2*(r-(2/3))^4
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Write log base 5 (x^4*y^3/z^7) in terms of x, y, and z
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= log5[x^4) + log5(y^3) - log5(z^7)
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= 4log5(x) + 3log5(y) - 7log5(z)
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cheers,
Stan H.