Question

Решите пожалуйста!

1) log1/5(x-10)-log1/5(x+2)≥-1
2) log9/6(0,5+x)=-2
3) (1/9)1/2 log3^4
4) log^5x=2log5^3+4 log25^2

Answer 1

log0.2(x-10)/x+2)≥log0.2 (1/5)^-1
x-10/x+2≥5
(x-10/x+2)-5≥0
(x-10-5x-10)/(x+2)≥0
(-4x-20)/x+2≥0
-x-5)/x+2≥0
x∈[-5. -2)