a)
log_3x=-1
x=3^{-1}=\frac{1}{3}
b)
log_5x=3
x=5^3=125
c)
log_{\frac{1}{2}}x=-2
x=(\frac{1}{2})^{-2}=2^2=4
d)
log_{\frac{1}{3}}x=-\frac{1}{2}
x=(\frac{1}{3})^{-\frac{1}{2}}=3^{\frac{1}{2}}=\sqrt3
f)
log_4x=0
x=4^0=1
g)
log_2x=10
x=2^{10}=1024
h)
log_{2\sqrt2}x=-3
x=(2\sqrt2)^{-3}=(\frac{1}{2\sqrt2})^3=\frac{1}{8(\sqrt2)^3}=\frac{1}{8*(\sqrt2)^2*\sqrt2}=\frac{1}{8*2\sqrt2}=\frac{1}{16\sqrt2}=\frac{\sqrt2}{16\sqrt2*\sqrt2}=\frac{\sqrt2}{16*2}=\frac{\sqrt2}{32}