document.write( "Question 64217: SOLVE THE EQUATION 4^(2x+1) = 2^(3x+6). \n" ); document.write( "
Algebra.Com's Answer #44882 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "     42x+1 = 23x+6\r\n" );
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document.write( "Rewrite 4 as (22)\r\n" );
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document.write( "  (22)2x+1 = 23x+6\r\n" );
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document.write( "Remove the parentheses on the left by\r\n" );
document.write( "multiplying the inner exponent 2 by\r\n" );
document.write( "the outer exponent 2x+1\r\n" );
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document.write( "  22(2x+1) = 23x+6\r\n" );
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document.write( "Now use the rule which says\r\n" );
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document.write( "if AB = AC with A > 0 and A ¹ 1,\r\n" );
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document.write( "    then B = C\r\n" );
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document.write( "So we have:\r\n" );
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document.write( "  2(2x + 1) = 3x + 6\r\n" );
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document.write( "Can you solve that? If not post again,\r\n" );
document.write( "but I think you can.\r\n" );
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document.write( "Answer: x = 4\r\n" );
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document.write( "Edwin
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