Need to work on
ex6: l o g 4 x + l o g 4 ( x + 4 ) − l o g 4 ( x 4 + 8 x 3 + 16 x 2 ) = 2 {\displaystyle log_{4}x+log_{4}(x+4)-log_{4}(x^{4}+8x^{3}+16x^{2})=2} simplify
l o g 4 x + l o g 4 ( x + 4 ) − l o g 4 ( x 4 + 8 x 3 + 16 x 2 ) = 2 {\displaystyle log_{4}x+log_{4}(x+4)-log_{4}(x^{4}+8x^{3}+16x^{2})=2}
l o g 4 x + l o g 4 ( x + 4 ) = 2 + l o g 4 ( x 4 + 8 x 3 + 16 x 2 ) {\displaystyle log_{4}x+log_{4}(x+4)=2+log_{4}(x^{4}+8x^{3}+16x^{2})}
l o g 4 x + l o g 4 ( x + 4 ) = l o g 4 ( x 2 + 4 x ) {\displaystyle log_{4}x+log_{4}(x+4)=log_{4}(x^{2}+4x)}
l o g 4 ( x 2 + 4 x ) − l o g 4 ( x 4 + 8 x 3 + 16 x 2 ) = 2 {\displaystyle log_{4}(x^{2}+4x)-log_{4}(x^{4}+8x^{3}+16x^{2})=2}
( x 2 + 4 x ) = 16 ( x 4 + 8 x 3 + 16 x 2 ) {\displaystyle (x^{2}+4x)=16(x^{4}+8x^{3}+16x^{2})}
16 ( x 2 + 4 ) = 0 {\displaystyle 16(x^{2}+4)=0}
simplify
