document.write( "Question 978393: Solve for x: 32^x = 8^2x-1 \n" ); document.write( "
Algebra.Com's Answer #599804 by ikleyn(52835)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "As I understand,  you need to solve an equation\r
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\n" ); document.write( "\n" ); document.write( "\"32%5Ex\" = \"8%5E%282x-1%29\",\r
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\n" ); document.write( "\n" ); document.write( "correct?\r
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\n" ); document.write( "\n" ); document.write( "If so,  then let us transform this equation step by step.\r
\n" ); document.write( "\n" ); document.write( "Since  \"32\" = \"2%5E5\"  and  \"8\" = \"2%5E3\",  we have\r
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\n" ); document.write( "\n" ); document.write( "\"32%5E%285x%29\" = \"2%5E%283%2A%282x-1%29%29\".\r
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\n" ); document.write( "\n" ); document.write( "It implies that\r
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\n" ); document.write( "\n" ); document.write( "5x = 3*(2x - 1).\r
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\n" ); document.write( "\n" ); document.write( "Solve this equation simplifying it step by step:\r
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\n" ); document.write( "\n" ); document.write( "5x = 6x - 3,\r
\n" ); document.write( "\n" ); document.write( "-x = -3,\r
\n" ); document.write( "\n" ); document.write( "x = 3. \r
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\n" ); document.write( "\n" ); document.write( "Check yourself the solution  x = 3.\r
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\n" ); document.write( "\n" ); document.write( "Answer.  x = 3.\r
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