document.write( "Question 67161: what is (are) the solution(s) of the equation log sub 4 4x+2 log sub4(x+3)=2 \n" ); document.write( "
Algebra.Com's Answer #47760 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
log4(4x) + 2·log4(x + 3) = 2\r\n" );
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document.write( "Get the left side to a single logarithm.\r\n" );
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document.write( "Use the rule\r\n" );
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document.write( " n·logBA = logBAn  \r\n" );
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document.write( "to rewrite the second term:\r\n" );
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document.write( "log4(4x) + log4(x + 3)2 = 2\r\n" );
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document.write( "Use the rule:\r\n" );
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document.write( " logBA + logBC = logB(AC) to rewrite the\r\n" );
document.write( "whole left side:\r\n" );
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document.write( "        log4[4x(x + 3)2] = 2\r\n" );
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document.write( "Use the rule:\r\n" );
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document.write( "logBA = C can be rewritten as A = BC \r\n" );
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document.write( "to rewrite the equation:\r\n" );
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document.write( "          4x(x + 3)2 = 42\r\n" );
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document.write( "    4x(x + 3)(x + 3) = 16\r\n" );
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document.write( "4x(x2 + 3x + 3x + 9) = 16\r\n" );
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document.write( "     4x(x2 + 6x + 9) = 16\r\n" );
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document.write( "To make things easier, divide both sides by 4\r\n" );
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document.write( "      x(x2 + 6x + 9) = 4     \r\n" );
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document.write( "       x3 + 6x2 + 9x = 4\r\n" );
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document.write( "   x3 + 4x2 + 9x - 4 = 0 \r\n" );
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document.write( "There is no easy way to solve that by hand, so we\r\n" );
document.write( "use a TI-82 or higher calculator and get\r\n" );
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document.write( "            x = 0.3553013976 \r\n" );
document.write( "Edwin
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