Log (x square +x) to base 4 -log (x+1) to base 4 =2
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log (x ² +x) to base 4 -log (x+1) to base 4 =2
㏒ ((x²+x)/(x+1)) to base 4 =2
4² = (x²+x)/(x+1)
16 = (x²+x)/(x+1)
16 (x+1) =(x²+x)
16x + 16 = x² +x
x² + x -16x -16 =0
x² -15x -16 = 0
x² -16x + x -16 =0
x( x -16 ) + x -16 =0
(x+1 )( x -16 ) =0
x+1 = 0 or x -16 =0
x = -1 or x =16 ( answer)
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