document.write( "Question 127692: Solve for x:
\n" ); document.write( "a) log base4 (x+2) + log base4 (n-4)=2
\n" ); document.write( "b) log base2 (x^2-2) - log base2 (1/2x+5)=1 Can someone please help me with these and show me how to check my answers ??????
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Algebra.Com's Answer #93553 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( "a) log base4 (x+2) + log base4 (x-4)=2
\n" ); document.write( "log base4 (x+2)(x-4) = 2
\n" ); document.write( "(x+2)(x-4) = 4^2
\n" ); document.write( "x^2-2x-24=0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-6)(x+4)=0
\n" ); document.write( "Positive answer:
\n" ); document.write( "x = 6
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\n" ); document.write( "Checking:
\n" ); document.write( "log base4 (8) + log base4 (2) = 2
\n" ); document.write( "log base4 [8*2) = 2
\n" ); document.write( "4^2 = 16
\n" ); document.write( "====================\r
\n" ); document.write( "\n" ); document.write( "b) log base2 (x^2-2) - log base2 (1/2x+5 = 1
\n" ); document.write( "log base2 [(x^2-2)/((1/2)x+5)] = 1
\n" ); document.write( "[(x^2-2)/((1/2)x+5)] = 2
\n" ); document.write( "x^2-2 = x+10
\n" ); document.write( "x^2-x-12 = 0
\n" ); document.write( "(x-4)(x+3) = 0
\n" ); document.write( "Positive answer:
\n" ); document.write( "x = 4
\n" ); document.write( "-----------
\n" ); document.write( "Checking:
\n" ); document.write( "log base2(14) - log base2 (7) = 1
\n" ); document.write( "log base2[14/7] = 1
\n" ); document.write( "14/7 = 2
\n" ); document.write( "2 = 2
\n" ); document.write( "=========
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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