Zadanie 1
a)
log_2\frac{1}{32}=log_2(\frac{1}{2})^5=log_22^{-5}=-5
b)
log_381=log_33^4=4
c)
log_{20}400=log_{20}20^2=2
d)
log 100=10^2=2
Zadanie 2
a)
log_5x=3
x=5^3
x=125
b)
log_{\frac{1}{3}}x=-\frac{1}{2}
x=(\frac{1}{3})^{-\frac{1}{2}}
x=3^{\frac{1}{2}}
x=\sqrt3
c)
logx64=-3
x^{-3}=64
x^{-3}=4^3
x^{-3}=(\frac{1}{4})^{-3}
x=\frac{1}{4}
d)
log_x81=4
x^4=81
x^4=3^4
x=3