Question

Решить логорифмы log(8)8 log(5) 1/625 0.3^1+log(0.3) 5 log 1/3 54-log 1/3 2

Answer 1

$1) \: log_{8}(8) = 1 \\ 2) \: log_{5}( \frac{1}{625} ) = log_{5}( {5}^{ - 4} ) = - 4$
$3) {0.3}^{1 + log_{0.3}(5) } = {0.3}^{1} \times {0.3}^{ log_{0.3}(5) } = 0.3 \times 5 = 1.5$
$4) \: log_{ \frac{1}{3} }(54) - log_{ \frac{1}{3} }(2) = log_{ \frac{1}{3} }( \frac{54}{2} ) = log_{ \frac{1}{3} }(27) = log_{ \frac{1}{3} }( {3}^{3} ) = - 3$