document.write( "Question 1002151: Let log base a x= -5, log base a y =2 and log base a z=0.25. determine the values of the following\r
\n" ); document.write( "\n" ); document.write( "a.) log base a (xy^2/z^3)^2\r
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Algebra.Com's Answer #619123 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "\"log%28a%2C+x%29=+-5\",
\n" ); document.write( "\"log%28+a+%2Cy%29+=2\" and
\n" ); document.write( "\"+log+%28+a%2C+z%29=0.25\"\r
\n" ); document.write( "\n" ); document.write( " determine the values of the following\r
\n" ); document.write( "\n" ); document.write( "a.) \r
\n" ); document.write( "\n" ); document.write( "\"log+%28a%2C%28%28xy%5E2%2Fz%5E3%29%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log+%28a%2C%28x%5E2y%5E4%2Fz%5E6%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log+%28a%2C%28x%5E2y%5E4%29%29-log+%28+a%2C%28z%5E6%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log+%28a%2Cx%5E2%29%2Blog+%28+a%2Cy%5E4%29-6log+%28+a%2Cz%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2log+%28+a%2C+x%29%2B4log+%28+a%2Cy%29-6log+%28+a%2Cz%29\"....substitute given values\r
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\n" ); document.write( "\n" ); document.write( "\"2%28-5%29%2B4%2A2-6%2A0.25\"\r
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\n" ); document.write( "\n" ); document.write( "\"-10%2B8-1.5\"\r
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\n" ); document.write( "\n" ); document.write( "\"-3.5\"\r
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\n" ); document.write( "\n" ); document.write( "b.) \r
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\n" ); document.write( "\n" ); document.write( "\"log%28+a+%2Csqrt%28x%29%2Asqrt%28y%29%2Asqrt%28z+%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28+a+%2Csqrt%28x%29%29%2Blog%28+a+%2Csqrt%28y%29%29%2Blog%28+a+%2Csqrt%28z+%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29log%28+a+%2Cx%29%2B%281%2F2%29log%28+a+%2Cy%29%2B%281%2F2%29log%28+a+%2Cz%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29%28+-5%29%2B%281%2F2%29%2A2%2B%281%2F2%29%2A0.25\"\r
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\n" ); document.write( "\n" ); document.write( "\"-2.5%2B1%2B0.125\"\r
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\n" ); document.write( "\n" ); document.write( "\"-1.375\"\r
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