Question 835737: use the properties of logarithms to rewrite 1/3log4 8+2log4 5 as a single logarithm. then evaluate the value of the resulting expression. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! use the properties of logarithms to rewrite 1/3log4 8+2log4 5 as a single logarithm. then evaluate the value of the resulting expression.
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1/3log4 8+2log4 5
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log4[8^(1/3)] + log4[5^2]
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= log4(2) + log4(25)
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= log4(2*25)
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= log4(50)
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= log(50)/log(4) = 1.699/0.6021 = 6.4977
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Cheers,
Stan H.
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