Question

вычислить 25*log(5)3 - log(25)27

Answer 1

25*log(5)3 - log(25)27 = 25*log(5)3 - log(5^2) 3^3 = 25*log(5)3 - (3/2) * log(5)3 = 23.5 log(5) 3 = 47/2 * log(5) 3 = log(25) 3^47
а на самам деле 
25 ^ ( log5 3 - log25 27) = 25 ^ log5 3 / ( 25 ^ log25 27 ) = 5 ^2log 5 3 / 27 = 9/27 = 1/3