document.write( "Question 634369: i want solution for 2logg(4-x) to the base 4=4-log(-2-x) to the base 2 \n" ); document.write( "
Algebra.Com's Answer #399608 by lwsshak3(11628)\"\" \"About 
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solution for 2logg(4-x) to the base 4=4-log(-2-x) to the base 2
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\n" ); document.write( "2log4(4-x)=4-log2(-2-x)
\n" ); document.write( "2log4(4-x)+log2(-2-x)=4
\n" ); document.write( "convert to log base2
\n" ); document.write( "2log2(4-x)/log2(4)+log2(-2-x)=4
\n" ); document.write( "log2(4-x)+log2(-2-x)=4
\n" ); document.write( "log2[(4-x)(-2-x)]=4
\n" ); document.write( "convert to exponential form
\n" ); document.write( "2^4=(4-x)(-2-x)
\n" ); document.write( "16=-8-2x+x^2
\n" ); document.write( "x^2-2x-8-16=0
\n" ); document.write( "x^2-2x-24=0
\n" ); document.write( "(x-6)(x+4)=0
\n" ); document.write( "x=6 (reject,(-2-x)>0
\n" ); document.write( "or
\n" ); document.write( "x=-4
\n" ); document.write( "check:
\n" ); document.write( "2log4(4-x)=4-log2(-2-x)
\n" ); document.write( "2log4(4+4)=4-log2(2)
\n" ); document.write( "log4(8^2)=4-1
\n" ); document.write( "log4(64)=3
\n" ); document.write( "3=3\r
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