# Tag Info

This $$a\ln q_1+b\ln q_2=q_1^aq_2^b$$ is not true, only $$a\ln q_1+b\ln q_2=\ln(q_1^aq_2^b)$$ is true. $$u(\lambda q_1, \lambda q_2)=\lambda u(q_1,q_2)$$ is a sufficient, but not necessary condition for homotheticity of $u$. You can find more on this by searching for questions with the word homothetic on this site. It is indeed true that  \lambda^...