document.write( "Question 143986: How would I solve the below problem...THX tutors!!! :)\r
\n" ); document.write( "\n" ); document.write( "log(16)X + log(8)X + log(4)X + log(2)X = 6\r
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Algebra.Com's Answer #104801 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
How would I solve the below problem...THX tutors!!! :)
\n" ); document.write( " $\"log%2816%2Cx%29+%2B+log%288%2Cx%29+%2B+log%284%2Cx%29+%2B+log%282%2Cx%29+=+6\"$
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document.write( "Use the 'change of base' formula:\r\n" );
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document.write( "on each of the first three terms on the left, using  as the \r\n" );
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document.write( "Now we can evaluate those three denominators by using the definition of\r\n" );
document.write( "logarithm:\r\n" );
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document.write( "    is equivalent to \r\n" );
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document.write( "For , we set it equal to the unknown \"y\":\r\n" );
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document.write( "Then it is equivalent to  or , so ,\r\n" );
document.write( "therefore   \r\n" );
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document.write( "For , we set it equal to the unknown \"z\":\r\n" );
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document.write( "Then it is equivalent to  or , so ,\r\n" );
document.write( "therefore  \r\n" );
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document.write( "For , we set it equal to the unknown \"w\":\r\n" );
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document.write( "Then it is equivalent to  or , so ,\r\n" );
document.write( "therefore  \r\n" );
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document.write( "Substitute these for the first three terms of:\r\n" );
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document.write( "Clear of fractions by multiplying every term by LCD = 12\r\n" );
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document.write( "Divide both sides by 25\r\n" );
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document.write( "Now use the definition of logarithm again to rewrite\r\n" );
document.write( "that as\r\n" );
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document.write( "Find that on a TI calculator by typing \r\n" );
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document.write( "2^(72/25)\r\n" );
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document.write( "then pressing ENTER\r\n" );
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document.write( "Edwin

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