<PRE><B>Question 114077</B>
1.Use the properties of logarithms to write the following expression as a single logarithm: 2 log x+2 log y-4 log z 
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= log x^2 + log y^2 -logz^4

= log[x^2*y^2/z^4]
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2.Use the properties of logarithms to expand the expression as much as possible:((( log (3, 81z/y^3x^4) )))
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Comment: Keep in mind that all logs are base 3.
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log [81z/y^3x^4)] = log 81 + logz -[logy^3+logx^4]

= log81 + logz - 3logy -4logx
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Applying base 3  where you can:
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= 4 +logz -3logy - 4logx
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Cheers,
Stan H.

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