Question

Обчислiть, нужно срочно

Answer 1

$log_{8}(16) = log_{ {2}^{3} }( {2}^{4} ) = \frac{4}{3} log_{2}(2) = \frac{4}{3} = 1 \frac{1}{3}$

$log_{2}(5) + log_{2}(1.6) = log_{2}(5 \times 1.6) = log_{2}(8) = log_{2}( {2}^{3} ) = 3 log_{2}(2) = 3$

$log_{5}(49) + 2 log_{5}( \frac{5}{7} ) = log_{5}(49) + log_{5}(( \frac{5}{7}) {}^{2} ) = log_{5}(49) + log_{5}( \frac{25}{49} ) = log_{5}( \frac{49 \times 25}{49} ) = log_{5}(25) = log_{5}(5 {}^{2} ) = 2 log_{5}(5) = 2$