document.write( "Question 756287: can you help me solving this equation: solve for x \r
\n" ); document.write( "\n" ); document.write( "log base 2 (2x)= 4- log base 2 (x+2) \n" ); document.write( "
Algebra.Com's Answer #460078 by Cromlix(4381)\"\" \"About 
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log base 2 (2x)= 4- log base 2 (x+2)
\n" ); document.write( "log base 2 (2x) + log base2 (x + 2) = 4
\n" ); document.write( " 2x(x + 2) = 2^4
\n" ); document.write( " 2x^2 + 4x = 16
\n" ); document.write( " 2x^2 + 4x - 16 = 0
\n" ); document.write( " (2x - 4)(x + 4)= 0
\n" ); document.write( "Therefore either;
\n" ); document.write( " 2x - 4 = 0
\n" ); document.write( " 2x = 4
\n" ); document.write( " x = 2
\n" ); document.write( "Or
\n" ); document.write( " x + 4 = 0
\n" ); document.write( " x = -4 (No answer)
\n" ); document.write( "Proof:
\n" ); document.write( "log base 2 (2 x 2) + log base 2 (2 + 2) = 4
\n" ); document.write( "log base 2 (4) + log base 2 (4) = 4
\n" ); document.write( "log base 2 (2^2) + log base 2 (2^2) = 4
\n" ); document.write( "2 log base 2 (2) + 2 log base 2 (2) = 4
\n" ); document.write( "As log base a (a) where a is any integer = 1
\n" ); document.write( "Therefore 2 + 2 = 4\r
\n" ); document.write( "\n" ); document.write( "Hope this helps
\n" ); document.write( ":-) \n" ); document.write( "
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