(1) log5x=353=xx=125\log_5 x = 3 \qquad 5^3 = x \qquad x = 125log5x=353=xx=125 (2) log10x=−210−2=xx=1100\log_{10} x = -2 \qquad 10^{-2} = x \qquad x = \dfrac{1}{100}log10x=−210−2=xx=1001 (3) log4x=040=xx=1\log_4 x = 0 \qquad 4^0 = x \qquad x = 1log4x=040=xx=1 (4) log16x=141614=xx=2\log_{16} x = \dfrac{1}{4} \qquad 16^{\frac{1}{4}} = x \qquad x = 2log16x=411641=xx=2 (5) log25x=−1225−12=xx=15\log_{25} x = -\dfrac{1}{2} \qquad 25^{-\frac{1}{2}} = x \qquad x = \dfrac{1}{5}log25x=−2125−21=xx=51 (6) log8x=−438−43=xx=2−4=116\log_8 x = -\dfrac{4}{3} \qquad 8^{-\frac{4}{3}} = x \qquad x = 2^{-4} = \dfrac{1}{16}log8x=−348−34=xx=2−4=161