第10章 10.1

(1)

$3^3 = 27 \qquad \log_3 3^3 = \log_3 27 \qquad 3 = \log_3 27$

(2)

$5^2 = 25 \qquad \log_5 5^2 = \log_5 25 \qquad 2 = \log_5 25$

(3)

$3^0 = 1 \qquad \log_3 3^0 = \log_3 1 \qquad 0 = \log_3 1$

(4)

$4^{-2} = \dfrac{1}{16} \qquad \log_4 4^{-2} = \log_4 \dfrac{1}{16} \qquad -2 = \log_4 \dfrac{1}{16}$

(5)

$2^{-6} = \dfrac{1}{64} \qquad \log_2 2^{-6} = \log_2 \dfrac{1}{64} \qquad -6 = \log_2 \dfrac{1}{64}$

(6)

$8^{\frac{1}{3}} = 2 \qquad \log_8 8^{\frac{1}{3}} = \log_8 2 \qquad \dfrac{1}{3} = \log_8 2$

(7)

$\left(\dfrac{1}{4}\right)^2 = \dfrac{1}{16} \qquad \log_{\frac{1}{4}} \left(\dfrac{1}{4}\right)^2 = \log_{\frac{1}{4}} \dfrac{1}{16} \qquad 2 = \log_{\frac{1}{4}} \dfrac{1}{16}$

(8)

$\left(\dfrac{1}{2}\right)^{-2} = 4 \qquad \log_{\frac{1}{2}} \left(\dfrac{1}{2}\right)^{-2} = \log_{\frac{1}{2}} 4 \qquad -2 = \log_{\frac{1}{2}} 4$

(9)

$81^{\frac{3}{4}} = 27 \qquad \log_{81} 81^{\frac{3}{4}} = \log_{81} 27 \qquad \dfrac{3}{4} = \log_{81} 27$

(10)

$7^1 = 7 \qquad \log_7 7^1 = \log_7 7 \qquad 1 = \log_7 7$