document.write( "Question 895153: Dear Sir/Madam, \r
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\n" ); document.write( "\n" ); document.write( "Please help me with this logarithm problem, \r
\n" ); document.write( "\n" ); document.write( "If \"b+=+log%283%2Cx%29\", find x in \"log%28b%2C%28log%283%2Cx%5E2%29%29%29=2\".\r
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\n" ); document.write( "\n" ); document.write( "note: the base in log3x is 3, the base in logb is b and the base in log3x^2 is 3.\r
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\n" ); document.write( "\n" ); document.write( "Thank you very much!
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Algebra.Com's Answer #545072 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Dear Sir/Madam, \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please help me with this logarithm problem, \r
\n" ); document.write( "\n" ); document.write( "If \"b+=+log%283%2Cx%29\", find x in \"log%28b%2C%28log%283%2Cx%5E2%29%29%29=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "note: the base in log3x is 3, the base in logb is b and the base in log3x^2 is 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you very much!
\n" ); document.write( "

\n" ); document.write( "\"log%28b%2C%28log%283%2C+x%5E2%29%29%29+=+2\"
\n" ); document.write( "\"log%283%2C+x%5E2%29\" = \"2log+%283%2C+x%29\"
\n" ); document.write( "Since \"log+%283%2C+x%29+=+b\", then \"2log+%283%2C+x%29\", or \"log+%283%2C+x%5E2%29\" = 2b
\n" ); document.write( "\"log%28b%2C+2b%29+=+2\" ------ Substituting 2b for \"log+%283%2C+x%5E2%29\" in \"log%28b%2C%28log%283%2C+x%5E2%29%29%29+=+2\"
\n" ); document.write( "\"b%5E2+=+2b\"
\n" ); document.write( "\"b%5E2+-+2b+=+0\"
\n" ); document.write( "\"b%28b+-+2%29+=+0\"
\n" ); document.write( "Thus, b = 2 OR b = 0 (ignore)\r
\n" ); document.write( "\n" ); document.write( "Now, since \"b+=+log%283%2C+x%29\", and b = 2, then:
\n" ); document.write( "\"2+=+log+%283%2C+x%29\"
\n" ); document.write( "\"x+=+3%5E2\", or \"highlight_green%28x+=+9%29\" \n" ); document.write( "
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