1)
=log2,5 25/4=log2,5 6,25 =log2,5 2,5² =2
2)
=(2³)^(log2 0,4) =2^(log2 0,4) * 2^(log2 0,4) * 2^(log2 0,4) =
= 0,4*0,4*0,4=0,064
3)
=log1/5 (5)^(3/4)=log1/5 (1/5)^(-3/4)=-3/4
4)
=log4 (log3^(1/8) 3^4)=log4 (8*4*log3 3)=log4 32=log2² 32=(1/2)*log2 2^5=
=(1/2)*5=2,5
5)
logb a^(1/2)=0,1
b^(0,1) =a^(1/2)
(b^0,1)^320 =(a^1/2)^320
b^32 =a^160
loga (a^4 * b^32) =loga a^164=164