lgx=3-lg(2x+0)lgx = 3 - lg(2x)
lgx = 3 - (1 + lg(2x))lgx = 3 - 1 - lg(2x)lgx = 2 - lg(2x)
lgx + lg(2x) = 2lg(2x*x) = 2lg(2x^2) = 2
2x^2 = 10^22x^2 = 100x^2 = 50x = ± √50
Ответ: x = ± √50
lgx=3-lg(2x+0)
lgx = 3 - lg(2x)
lgx = 3 - (1 + lg(2x))
lgx = 3 - 1 - lg(2x)
lgx = 2 - lg(2x)
lgx + lg(2x) = 2
lg(2x*x) = 2
lg(2x^2) = 2
2x^2 = 10^2
2x^2 = 100
x^2 = 50
x = ± √50
Ответ: x = ± √50