document.write( "Question 690295: How do you solve this problem:
\n" ); document.write( "X=8 log(100)10 \n" ); document.write( "

Algebra.Com's Answer #426304 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=8log%28100%2C+%2810%29%29\"$
\n" ); document.write( "This problem is fairly easy if you really understand what logarithms are. In general logarithms are exponents. Specifically, $\"log%28100%2C+%2810%29%29\"$ is the exponent that one can put on a 100 to get a result of 10. So what power of 100 equals 10? Once you realize that 10 is the square root of 100 and that and exponent of 1/2 means square root, then you will know that $\"log%28100%2C+%2810%29%29+=+1%2F2\"$ . Now we just substitute this into the equation:
\n" ); document.write( " $\"x+=+8%2A%281%2F2%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"x+=+4\"$ \n" ); document.write( "

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