document.write( "Question 641760: Solve x in the following exponential equation \"+2%5E%282x%29+%2A+4%5E%284x%2B8%29+=64+\" \n" ); document.write( "
Algebra.Com's Answer #403807 by MathLover1(20850)\"\" \"About 
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\"+2%5E%282x%29+%2A+4%5E%284x%2B8%29+=64+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%282x%29+%2A+2%5E2%284x%2B8%29+=2%5E6+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%282x%29+%2A+2%5E%288x%2B16%29+=2%5E6+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%282x%2B8x%2B16%29+=2%5E6+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%2810x%2B16%29+=2%5E6+\"\r
\n" ); document.write( "\n" ); document.write( "if base equal, exponents are equal too\r
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\n" ); document.write( "\n" ); document.write( "\"+10x%2B16=6+\".\r
\n" ); document.write( "\n" ); document.write( "\"+10x=6-16+\"\r
\n" ); document.write( "\n" ); document.write( "\"+10x=-10+\"\r
\n" ); document.write( "\n" ); document.write( "\"+x=-1+\"\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%282%28-1%29%29+%2A+4%5E%284%28-1%29%2B8%29+=64+\"\r
\n" ); document.write( "\n" ); document.write( "\"+2%5E%28-2%29+%2A+4%5E%28-4%2B8%29+=64+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%281%2F2%5E2%29+%2A+4%5E4+=64+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+%281%2F4%29+%2A+256+=64+\"\r
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\n" ); document.write( "\n" ); document.write( "\"++256%2F4+=64+\"\r
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\n" ); document.write( "\n" ); document.write( "\"+64+=64+\"\r
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