`10^(3x) = 125, 10^(-2x) = ?`

If 5^(3x)=125 and 10^(y)=0.001 find x and y

3x + 4y = 10, 2x-2y = 2

Simplify : (25\ x\ a^(-4))/(5^(-3)\ x\ 10\ x\ a^(-8)) (ii) (3^(-5)\ x\ 10^(-5)\ x\ 125)/(5^(-7)\ x\ 6^(-5))

The inverse of f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is A). (1)/(2)log_(10)((1+x)/(1-x)) , B). log_(10)(2-x) , C). (1)/(2)log_(10)(2-1) , D). (1)/(4)log_(10)((2x)/(2-x))

3 ^ (2x + 1) + 10 (3 ^ (x)) + 3 = 0

The area of a rectangular courtyard is (10x^(3)-11x^(2)+19x+10) sq units. If one of its sides is (2x^(2)-3x+5) units, then the other side is