## anonymous 5 years ago log_5(x^2)-log_5(x+5)=6 x=?

1. watchmath

$$\log_5(\frac{x^2}{x+5})=6$$ $$5^6=\frac{x^2}{x+5}$$ $$3125(x+5)=x^2$$ $$x^2-3125x-5\cdot 3125=0$$ Then solve by quadratic formula :)

2. anonymous

got it thank you!!!