Question

ПОМОГИТЕ Пожалуйста решить ​

Answer 1

$1) {3}^{x} = 2 \\ log_{3}( {3}^{x} ) = log_{3}(2) \\ x = log_{3}(2)$

$2) {10}^{x} = \frac{1}{6} \\ log_{10}( {10}^{x} ) = log_{10}( \frac{1}{6} ) \\ x = log_{10}( \frac{1}{6} ) \\ x = log_{10}( {6}^{ - 1} ) \\ x = - log_{10}(6)$

$3){7}^{x + 5} = 9 \\ log_{7}( {7}^{x + 5} ) = log_{7}(9) \\ x + 5 = log_{7}( {3}^{2} ) \\ x + 5 = 2 log_{7}(3) \\ x = 2 log_{7}(3) - 5$

$4) {0.6}^{5x - 2} = 20 \\ { (\frac{3}{5}) }^{5x - 2} = 20 \\ log_{ \frac{3}{5} }(( { \frac{3}{5} )}^{5x - 2} ) = log_{ \frac{3}{5} }(20) \\ 5x - 2 = log_{ \frac{3}{5} }(20) \\ 5x = log_{ \frac{3}{5} }(20) + 2 \\ x = \frac{1}{5} log_{ \frac{3}{5} }(20) + 2$