document.write( "Question 683635: Please help with the following question, I'm about ready to yank my hair out...\r
\n" ); document.write( "\n" ); document.write( "Let $\"+log+%28b%2C+2%29+\"$ equal A and $\"+log+%28b%2C+3%29+\"$ equal C. Write the expression below in terms of A and C.\r
\n" ); document.write( "\n" ); document.write( " $\"+log+%28+b%2C+sqrt+%2832%2F27%29+%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "I've tried $\"+sqrt+%285A-3C%29+\"$ But that doesn't seem to be correct
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Algebra.Com's Answer #423636 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "I think you just didn't remember that the square root is the same\r\n" );
document.write( "as the  power.\r\n" );
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document.write( "We observe that 32 = 2*16 = 2*2*8 = 2*2*2*4 = 2*2*2*2*2 = 2⁵\r\n" );
document.write( "We observe that 27 = 3*9 = 3*3*3 = 3³\r\n" );
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document.write( "We observe that the square root is the  power:\r\n" );
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document.write( "Now we use a rule of logarithms that allows us to move the \r\n" );
document.write( "exponent in front as a coefficient of the log:\r\n" );
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document.write( "Now we can write the log of a quotient as the difference of the logs,\r\n" );
document.write( "being careful to place the difference of logs in parentheses so that\r\n" );
document.write( "the  is multiplied by both terms:\r\n" );
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document.write( "Now on each of those terms inside the parentheses, we again use the\r\n" );
document.write( "rule of logarithms that allows us to move the 5 and 2 exponents in \r\n" );
document.write( "front as a coefficient of the logs:\r\n" );
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document.write( "Finally we substuitute A for  and C for \r\n" );
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document.write( "Yoou can leave it like that or write it over 2 like this:\r\n" );
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document.write( "or as\r\n" );
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document.write( "or as\r\n" );
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document.write( "Edwin

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