Question

ПОМОГИТЕ пожалуйста ПОДРОБНО решить

Answer 1

$2) : : 3x - 1 < x \ 3x - x < 1 \ 2x < 1 \ x < frac{1}{2} \ ( - infty . : frac{1}{2} )$
$4) = frac{ {10}^{3} }{ {10}^{ log_{10}(4) } } - {( {7}^{2} )}^{ log_{7}(15) } = frac{1000}{4} - { {7}^{ log_{7}(15) } }^{2} = 250 - {15}^{2} = 250 - 225 = 25$
$5) : : y = 8 - 3x \ log_{3}(x) + log_{3}(8 - 3x) = 1 \ log_{3}(x (8 - 3x)) = 1 \ x(8 - 3x) = {3}^{1} \ - 3 {x}^{2} + 8x - 3 = 0 \ 3 {x}^{2} - 8x + 3 = 0 \ d = {( - 8)}^{2} - 4 times 3 times 3 = 64 - 48 = 16 \ sqrt{d} = + - 4 \ x1 = frac{ - ( - 8) - 4}{2 times 3} = frac{4}{6} = frac{2}{3} \ x2 = frac{ - ( - 8) + 4}{2 times 3} = frac{12}{6} = 2 \ y1 = 8 - 3 times frac{2}{3} = 8 - 2 = 6 \ y2 = 8 - 3 times 6 = 8 - 18 = - 10$