assuming logs base 3, we have
log x^3 + 1/2 log3 + 2logy
= 3logx + 2logy + 1/2
What do you want to do with the extra 1/2 ?
Use the Laws of Logarithms to rewrite the expression
log⌄3(x^3 sqrt3 y^2)
in a form with no logarithm of a product, quotient or power. After rewriting we have
log⌄3(x^3 sqrt3 y^2)=A log⌄3 x + B log⌄3 y
with the constant
A=
and the constant
B=
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