document.write( "Question 108483: I dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help!
\n" ); document.write( "Given that \"+log+%28+2%2C+5+%29+=+2.3219\" and \"+log+%28+2%2C+7+%29+=+2.8074\" , evaluate \"+log+%28+2%2C+square+root+35+%29+\"
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Algebra.Com's Answer #79123 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help!
\n" ); document.write( "Given that \"+log+%28+2%2C+5+%29+=+2.3219\" and \"+log+%28+2%2C+7+%29+=+2.8074\" , evaluate \"+log+%28+2%2C+sqrt%2835%29%29+\"
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document.write( "First we change the square root to the \"1%2F2\" power,\r\n" );
document.write( "since they are equivalent:\r\n" );
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document.write( "So the first step is to change \r\n" );
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document.write( "\"+log+%28+2%2C+sqrt%2835%29%29+\"\r\n" );
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document.write( "to\r\n" );
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document.write( "\"+log+%28+2%2C+35%5E%281%2F2%29%29%29+\"\r\n" );
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document.write( "Second step is to move the exponent \"1%2F2\"\r\n" );
document.write( "in front of the logarithm as a coefficient:\r\n" );
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document.write( "\"1%2F2\"\"log+%28+2%2C+35%29%29+\" \r\n" );
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document.write( "Third step is to write \"35\" as \"5%2A7\" \r\n" );
document.write( "So we now have\r\n" );
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document.write( "\"1%2F2\"\"log+%28+2%2C+5%2A7%29%29+\"\r\n" );
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document.write( "Fourth step, we put parentheses around the logarithm\r\n" );
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document.write( "\"1%2F2\"\"%28log+%28+2%2C+5%2A7%29%29%29+\"\r\n" );
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document.write( "Fifth step, we write the \"log%282%2C5%2A7%29\" as \"log%282%2C5%29%2Blog%282%2C7%29\"\r\n" );
document.write( "so now we have\r\n" );
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document.write( "\"1%2F2\"\"%28log%282%2C5%29%2Blog%282%2C7%29%29\"\r\n" );
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document.write( "Sixth step, we substitute the given decimal values for the logarithms,\r\n" );
document.write( "that is, \"+log+%28+2%2C+5+%29+=+2.3219\" and \"+log+%28+2%2C+7+%29+=+2.8074\"\r\n" );
document.write( "so we now have\r\n" );
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document.write( "\"1%2F2\"\"%282.3219%2B2.8074%29\"\r\n" );
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document.write( "Seventh step, we evaluate the whole thing with a calculator:\r\n" );
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document.write( "Answer: \"2.56465\"\r\n" );
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document.write( "Edwin

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