Question

Oblicz.

a) log(4)0,2 + log(2)6 + ½log(2)(5/9)

b) log5 × log20 + (log5)²

Answer 1

a) log(4)0,2 + log(2)6 + ½log(2)(5/9) = [log(2) 0,2]/log(2) 4]+[log(2) 6* (5/9)^(1/2)]= 1/2log(2) 0,2 + 1/2log(2) 10/3 = 1/2log(2) 2/10 * 10/3 = 1/2log(2) 2/3

 

b) log5 × log20 + (log5)²=log5(log20+log5)=log5(log 100)=2log5