Question

срочно нужно,помогите с алгеброй через час надо сдавать​

Answer 1

Ответ:

$1) {( {2}^{ log_{2}(15) } + 3) }^{ log_{18}(28) } \div log_{2}(128) = {(15 + 3)}^{ log_{18}(28) } \div log_{2}(128) = {18}^{ log_{18}(28) } \div 7 = 28 \div 7 = 4$

$2)( log_{37}(5) + log_{37}(7.4) - {4}^{ log_{2}(5) } ) \div log_{ \frac{1}{3} }(81) = ( log_{37}(5 \times 7.4) - {2}^{2 log_{2}(5) } ) \div ( - 4) = ( log_{37}(37) - {2}^{ log_{2}( {5}^{2} ) } ) \div ( - 4) = (1 - 25) \div ( - 4) = 6$

$3) \frac{ log_{0.7}(64) }{ log_{0.7}(22) - log_{0.7}(44) } = \frac{ log_{0.7}(64) }{ log_{0.7}( \frac{22}{44} ) } = \frac{ log_{0.7}(64) }{ log_{0.7}( \frac{1}{2} ) } = log_{ \frac{1}{2} }(64) = - 6$

$4) log_{2}( log_{3}( \sqrt[16]{3} ) ) = log_{2}( \frac{1}{16} ) = - 4$