document.write( "Question 865079: Use logarithms to solve the equation 4^x=2(3^x), giving your answer correct to 3 significant figures. \n" ); document.write( "
Algebra.Com's Answer #521492 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"4%5Ex=2%283%5Ex%29\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"ln%284%5Ex%29=ln%282%283%5Ex%29%29\" Apply the natural log to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"ln%284%5Ex%29=ln%282%29%2Bln%283%5Ex%29\" Using rule 1\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Aln%284%29=ln%282%29%2Bx%2Aln%283%29\" Using rule 3\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Aln%284%29-x%2Aln%283%29=ln%282%29\" Subtract \"x%2Aln%283%29\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%28ln%284%29-ln%283%29%29=ln%282%29\" Factor out x\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Aln%284%2F3%29=ln%282%29\" Using rule 2\r
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\n" ); document.write( "\n" ); document.write( "\"x=ln%282%29%2Fln%284%2F3%29\" Divide both sides by \"ln%284%2F3%29\" to isolate x.\r
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\n" ); document.write( "\n" ); document.write( "\"x=2.40942083965\" Using a calculator here\r
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\n" ); document.write( "\n" ); document.write( "\"x=2.41\" Rounding to 3 significant figures
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