Use the Laws of logarithms to rewrite the expression $$\log\sqrt{\frac{x^2+5}{(x^2+12)(x^3-2)^{5}}}$$ in a form with no logarithm of a product, quotient or power.
After rewriting we have $$\log\sqrt{\frac{x^2+5}{(x^2+12)(x^3-2)^{5}}} = A \log (x^2+5) + B \log (x^2+12)+ C \log (x^3-2)$$
with the constant $A=$
the constant $B=$
and the constant $C=$