Question 678267
Use first the power property: {{{log(a,x^b) = b*log(a,x)}}} to bring the powers back under the logarithms:

{{{log(a,x^(1/2)) + log(a,y^4) - log(a,x^3)}}}

Then you can use the properties of product {{{ log(a,xy) = log(a,x) + log(a,y)}}} and quotient {{{log(a,x/y) = log(a,x) - log(a,y)}}}:

{{{log(a,(y^4sqrt(x)/(x^3)))}}}