Question

1. log4 2,56+log4 6,25 2. 169^log√13 2 3. log0,04(5 4√0,2) 4. log2,5log27(3 5√3) 5. loga√a^3 8√b, если b^5-a^4=0

Answer 1

1. log [4] (2.56×6.25)=log [4] 16=2
2 169^(log [sqrt (13)] 2)=13^(2×2×log [13] 2)=2^4=16
3 log [0.04] (5×0.2^(1/4))=1/2×log [0.2](0.2^(-3/4))=1/2×(-3/4)=-3/8
4 log[2.5] log [27] (3×root (3;5)))= log [2.5] 1/3 log [3] (3^(6/5))=log [5/2] (1/3×6/5)=log [5/2] 2/5=-1
5 log[a](a^3×b^(1/8))=3×1/8 log [a] b =3/8 log [a] a^(4/5)=3/8×4/5=3/10=0.3