document.write( "Question 112248: Please help me solve this equation:\r
\n" ); document.write( "\n" ); document.write( "3^0.16x=1.5\r
\n" ); document.write( "\n" ); document.write( "i've tried to take logs of both sides but it doesn't come out with the right answer.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance!
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Algebra.Com's Answer #81905 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this equation:
\n" ); document.write( "3^0.16x=1.5
\n" ); document.write( "i've tried to take logs of both sides but it doesn't come out with the right answer.
\n" ); document.write( "Thanks in advance!\r
\n" ); document.write( "\n" ); document.write( "
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document.write( "\"3%5E%280.16x%29\" = \"1.5\"\r\n" );
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document.write( "Take the log10 of both sides:\r\n" );
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document.write( "\"log%2810%2C3%5E%280.16x%29%29\" = \"log%2810%2C1.5%29\"  \r\n" );
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document.write( "Move the exponent 0.16x out in front of the\r\n" );
document.write( "log as a coefficient.\r\n" );
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document.write( "\"0.16x%2Alog%2810%2C3%29\" = \"log%2810%2C1.5%29\"\r\n" );
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document.write( "Divide both sides by \"0.16%2Alog%2810%2C3%29\"\r\n" );
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document.write( "\"%280.16x%2Alog%2810%2C3%29%29%2F%280.16%2Alog%2810%2C3%29%29\" = \"%28log%2810%2C1.5%29%29%2F%280.16%2Alog%2810%2C3%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\" = \"%28log%2810%2C1.5%29%29%2F%280.16%2Alog%2810%2C3%29%29\"\r\n" );
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document.write( "\"x\" = \"0.1760912%2F%280.16%2A0.4771212547%29\"\r\n" );
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document.write( "\"x\" = \"2.30668904\"\r\n" );
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document.write( "------------------------------\r\n" );
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document.write( "You can also do it by taking the natural log\r\n" );
document.write( "of both sides instead of the log10:\r\n" );
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document.write( "\"3%5E%280.16x%29\" = \"1.5\"\r\n" );
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document.write( "Take the ln of both sides:\r\n" );
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document.write( "\"ln%283%5E%280.16x%29%29\" = \"ln%281.5%29\"  \r\n" );
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document.write( "Move the exponent 0.16x out in front of the\r\n" );
document.write( "ln as a coefficient.\r\n" );
document.write( "\r\n" );
document.write( "\"0.16x%2Aln%283%29\" = \"ln%281.5%29\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by \"0.16%2Aln%283%29\"\r\n" );
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document.write( "\"%280.16x%2Aln%283%29%29%2F%280.16%2Aln%283%29%29\" = \"%28ln%281.5%29%29%2F%280.16%2Aln%283%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\" = \"%28ln%281.5%29%29%2F%280.16%2Aln%283%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\" = \"0.4054651081%2F%280.16%2A1.098612289%29\"\r\n" );
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document.write( "\"x\" = \"2.30668904\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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