document.write( "Question 12591: Please help with this problem: 3 log 3 x=5 (the second \"3\" is under the word \"log\"). I can't seem to follow the pattern on my textbook. I would love to see the steps to working out this problem. thanks! \n" ); document.write( "
Algebra.Com's Answer #6385 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
\"3+%2Alog%283%2Cx%29+=+5+\"\r
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\n" ); document.write( "\n" ); document.write( "There are probably several ways to go about this. I'd say to divide both sides by 3, and get
\n" ); document.write( "\"log%283%2Cx%29+=+5%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "Next use the basic definition of logarithms to convert to exponential form. Remember the definition says \"+log%28b%2Cx%29+=+y\" means \"b%5Ey+=+x\"?\r
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\n" ); document.write( "\n" ); document.write( "In the same way, \"log%283%2Cx%29+=+5%2F3\" means that \"3%5E%285%2F3%29+=+x\"\r
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\n" ); document.write( "\n" ); document.write( "What you are trying to find is x, and that's it!! x = \"3%5E%285%2F3%29+\".\r
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\n" ); document.write( "\n" ); document.write( "Is that enough, or you could probably rewrite this as \"3%2A+%283%5E%282%2F3%29+%29+\" which means \"3%2A+%28+root%283%2C9%29+%29\", but that's getting carried away if you ask me. Easier to calculate it and say approximately 6.24.\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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