Question 944210
0.5(log(2)(x+1)-log(2)(x^2+2x+1))
= {{{0.5*(log(2,(x+1)) - log(2,(x^2+2x+1)))}}}
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= {{{0.5*(log(2,(x+1)) - log(2,(x+1)^2))}}}
Subtracting logs --> division
= {{{0.5*(log(2,(x+1)/((x+1)^2)))}}}
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= {{{0.5*log(2,(1/(x+1)))}}}
= {{{log(2,(1/sqrt(x+1)))}}}
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Same as choice a.