Question

Найти Х:

а) log x 4 = 1/3

б) lg x = 1/2 lg 9 - 2/3 lg 8

Answer 1

log x 4 = 1/3;

$x^\frac{1}{3}=4$

$\sqrt[3]{x}=4$

x=4³=64;

б) lg x = 1/2 lg 9 - 2/3 lg 8

$lg x = lg \sqrt{9}  -  lg(\sqrt[3]{8})^2$

lg x = lg3-lg4;

lg x = lg(3/4);

x = 3/4;