SOLUTION: log base a of sqrt (a*x^12/y^2) given log base a of x=-8.2 and log base a of y=4 EVALUATE

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Question 661838: log base a of sqrt (a*x^12/y^2) given log base a of x=-8.2 and log base a of y=4
EVALUATE
Answer by lwsshak3(11628) About Me  (Show Source):
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log base a of sqrt (a*x^12/y^2) given log base a of x=-8.2 and log base a of y=4
EVALUATE
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log base a of sqrt (a*x^12/y^2)
=loga√(a*x^12/y^2)
=1/2[loga+12loga(x)-2loga(y)]
=1/2[1+12*-8.2-2*4]
=1/2[1-98.4-8]
=1/2[-105.4]
=-52.7