`5^(-3x):5^(x+7)=1:125`

The values of x satisfying the equation 5^(2x)-5^(x+3)+125=5^(x) are

If 5^(3x-1)-:25=125 , find the value of x.

5^(3x-1)div25 =125 then x=_____

Find x, if : (sqrt((3)/(5)))^(x+1)=(125)/(27)

Solve for following equations for x:(i)5^(2x+3)=1(ii)(sqrt((3)/(5)))^(x+1)=(125)/(27)

Solve for x in the following equations. 5^(3x)=125

Simplify: ((sqrt(2))/(5))^(8)-:((sqrt(2))/(5))^(13) (ii) ((5^(-1)x7^(2))/(5^(2)x7^(-7)))^((1)/(2))x((5^(-2)x7^(3))/(5^(3)x7^(-5)))^(-(5)/(2))