Question

Напишите решения заданий.

Answer 1

28.
$0.6^{x} < ( \frac{2}{3} )^{x} \\ (\frac{3}{5} )^{x} < ( \frac{2}{3} )^{x} \\ {( \frac{3}{5} \div \frac{2}{3} ) }^{x} < 1 \\ {( \frac{9}{10}) }^{x} < 1 \\ (\frac{9}{10} )^{x} < {( \frac{9}{10}) }^{0} \\ x > 0$
Ответ: D) (0; беск)

31.
$\sqrt[4]{4} + \sqrt[6]{8} - \sqrt[8]{16} = {4}^{ \frac{1}{4} } + {8}^{ \frac{1}{6} } - {16}^{ \frac{1}{8} } = {2}^{ \frac{2}{4} } + {2}^{ \frac{3}{6} } - {2}^{ \frac{4}{8} } = {2}^{ \frac{1}{2} } + {2}^{ \frac{1}{2} } - {2}^{ \frac{1}{2} } = \sqrt{2} + \sqrt{2} - \sqrt{2} = \sqrt{2}$
Ответ: В)

33.
$\frac{1}{ log_{9}(15) } + \frac{1}{ log_{25}(15) } = \frac{1}{ \frac{1}{ log_{15}(9) } } + \frac{1}{ \frac{1}{ log_{15}(25) } } = log_{15}(9) + log_{15}(25) = log_{15}(9 \times 25) = log_{15}(225) = 2$