a) \(\log_4\sqrt[5]{16}=\log_4\left(4^2\right)^{\dfrac{1}{5}}=\log_44^{\dfrac{2}{5}}=\dfrac{2}{5}\log_44=\dfrac{2}{5}.1=\dfrac{2}{5}\)

b) \(36^{\log_68}=\left(6^2\right)^{\log_68}=6^{2\log_68}=6^{\log_68^2}=8^2=64\)

a) \(\log_381=\log_33^4=4\log_33=4.1=4\)

b) \(\log_{10}\dfrac{1}{100}=\log_{10}10^{-2}=-2\log_{10}10=-2.1=-2\)

Program UCLN;

uses crt;

var a,b,x,y,tg: integer;

begin

clrscr;

write('Nhap a: '); readln(a); x:=a;

rite('Nhap b: '); readln(b); y:=b;

while a<>b do if a>b then a:=a-b else b:=b-a;

write('UCLN(',x,';',y,') = ',a);

Readln;

end.