Question

Write log^2 4 + log^2 3 as a single logarithm.

Answer 1

\[\Large \log_{2}(4)+\log_{2}(3)\]


\[\Large \log_{2}(4*3)\]


\[\Large \log_{2}(12)\]


So \[\Large \log_{2}(4)+\log_{2}(3)=\log_{2}(12)\]

Answer 2

I'm using the idea that \[\Large \log_{b}(x)+\log_{b}(y)=\log_{b}(xy)\]