Question

Найдите значение выражения ​

Answer 1

$\frac{3log_{10}(2)-log_{10}(0,5) }{log_{10}(0,4)+log_{10}(1,25) }=\frac{3log_{10}(2)-log_{10}(2^-^1) }{log_{10}(0,5) }=\frac{3log_{10}(2)-(-log_{10}(2)) }{log_{10}(2^-^1) }=\frac{3log_{10}(2)+log_{10}(2) }{-log_{10}(2) }=\\ \frac{4log_{10}(2) }{-log_{10}(2) }=4*(-1)=-4$