ex1: l o g 4 4 = n {\displaystyle log_{4}4=n} find n.
l o g a x = n {\displaystyle log_{a}x=n} a n = x {\displaystyle a^{n}=x}
4 n = 4 {\displaystyle 4^{n}=4}
n=1
ex2: l o g 4 x = 2 {\displaystyle log_{4}x=2} find x.
l o g a x = n {\displaystyle log_{a}x=n}
a n = x {\displaystyle a^{n}=x}
4 2 = x {\displaystyle 4^{2}=x}
x = 16
ex3: l o g a 25 = 2 {\displaystyle log_{a}25=2} find x.
a 2 = 25 {\displaystyle a^{2}=25}
a = 5