Question

Help please not sure why i got it wrong! thank you

Answer 1

Given;

`\log_2(x^2+2)-\log_2(x^2+7)`

Recall the logarithmic property that;

`\log_ca-\log_cb=\log_c((a)/(b))`

Thus;

`\begin{gathered} \log_2(x^2+2)-\log_2(x^2+7)=\log_2((x^2+2)/(x^2+7)) \\ \\ \end{gathered}`

ANSWER:

`\begin{equation*} \log_2((x^2+2)/(x^2+7)) \end{equation*}`