document.write( "Question 639940: Solve the following logarithmic equation. log(base 2)x+16+log(base 2)x+10=4. Show all work. \n" ); document.write( "
Algebra.Com's Answer #403756 by lwsshak3(11628)\"\" \"About 
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Solve the following logarithmic equation. log(base 2)x+16+log(base 2)x+10=4. Show all work.
\n" ); document.write( "rewrite equation:
\n" ); document.write( "log2(x+16)+log2(x+10)=4
\n" ); document.write( "place under single log
\n" ); document.write( "log2[(x+16)(x+10)]=4
\n" ); document.write( "convert to exponential form
\n" ); document.write( "2^4=[(x+16)(x+10)
\n" ); document.write( "x^2+26x+160=16
\n" ); document.write( "x^2+26x+144=0
\n" ); document.write( "(x+8)(x+18)=0
\n" ); document.write( "x=-18 (reject, (x+10)>0)
\n" ); document.write( "x=-8
\n" ); document.write( " \n" ); document.write( "
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