Log1/5(x+8)-log1/5(x-3)>log1/5(3x)

Question

Log1/5(x+8)-log1/5(x-3)>log1/5(3x)

Answer 1

log1/5(x+8)/(x-3)>log1/5(3x)

3x>(x+8)/(x-3)

(x-4)(x+2/3)/(3-x)<0</p>

]-2/3;3[ U ]4;~[

x+8>0  x>-8

x-3>0 x>3

ответ x>4