text: If two logs are added, you multiply the things you are taking the log of.\nIf two logs are subtracted, you divide the things you are taking the log of (the positive value in the numerator)\nIf you have a coefficient, it becomes the exponent of the thing you are taking the log of in "factored" form.\n\ni.e.: 1/2logs = log(s^(1/2)\n\nWe now know enough to do the problems.\n\nLet's do the second one first:\n\n1/2log(s)+5log(q) = \nlog(s^(1/2))+log(q^5)=\nlog(s^(1/2)q^5)\n\nWe're done!  For the first one, we have\n\nlog((a)(4)(x^2)(y)(z^4))\n\nI added the parantheses to make it easier to visualize what to do.  We have exponents (make them coefficients) and multiplication (make it addition).  The whole things equals.\n\nlog(a) + log(4) + 2log(x) + log(y) + 4log(z)\n\nI hope this is all clear and helps you.