2log(a)1/2 + 3log(a)4 - log(a)4/5 Remember that log x + log y = log (x*y) log x - log y = log (x/y) n * log x = log (x^n) Take each part of the given expression and simplify. 2*log(a)(1/2) = log(a)((1/2)^2) = log(a)(1/4) 3*log(a)(4) = log(a)(4^3) = log(a)(64) So 2log(a)1/2 + 3log(a)4 = log(a)(1/4) + log(a)(64) = log(a) ((1/4)*64)) = log(a)(16) So the expression is log (a)(16) - log(a)(4/5) = log(a)(16/(4/5)) = log(a)(16*5/4) = log(a)(20) Single logarithm is log(a)(20) i.e. log 20 to the base a. :)