Question

Help please​ помогите пожалуйста

Answer 1

Ответ:

$1) log_{5}( \frac{100}{4} ) = log_{5}(25) = 2$

$2) log_{10}(8 \times 12.5) = log_{10}(100) = 2$

$10) {5}^{ - 1 \times log_{ {5}^{2} }(9) } \times { \frac{1}{5} }^{2} = {5}^{ - \frac{1}{2} \times log_{5}(9) } \times \frac{1}{25} = {5}^{ log_{5}( \frac{1}{3} ) } \times \frac{1}{25} = \frac{1}{3} \times \frac{1}{25} = \frac{1}{75}$

$3) log_{49}( \frac{84}{12} ) = log_{49}(7) = 0.5$

$4) {a}^{ log_{a}(b) } = b \\ 32$

$5) \frac{ log_{c}(a) }{ log_{c}(b) } = log_{a}(b) \\ = log_{5}(125) = 3$

$6) {5}^{ log_{5}( {49}^{ \frac{1}{2} } ) } = {5}^{ log_{5}(7) } = 7$

$7) log_{ {3}^{ - 1} }( {3}^{ \frac{1}{3} } ) = - 1 \times \frac{1}{3} \times log_{3}(3) = - \frac{1}{3}$

$8) {2}^{2 \times log_{2}(9) } = {2}^{ log_{2}(81) } = 81$

$9) log_{2}( log_{5}( {5}^{ \frac{1}{8} } ) ) = log_{2}( \frac{1}{8} ) = - 3$