To solve this equation, we need to first simplify it.
Given:(1/125)^x = √25
Simplify:(1/125)^x = 5
Now, we need to find the value of x.
To find the value of x, we need to express both sides of the equation with the same base.
(1/125)^x = (5^(-3))^x(1/125)^x = 5^(-3x)
Now, we can equate the exponents:
x = -3x
Solving for x:x = -3x4x = 0x = 0
Therefore, the value of x that satisfies the given equation is x = 0.
To solve this equation, we need to first simplify it.
Given:
(1/125)^x = √25
Simplify:
(1/125)^x = 5
Now, we need to find the value of x.
To find the value of x, we need to express both sides of the equation with the same base.
(1/125)^x = (5^(-3))^x
(1/125)^x = 5^(-3x)
Now, we can equate the exponents:
x = -3x
Solving for x:
x = -3x
4x = 0
x = 0
Therefore, the value of x that satisfies the given equation is x = 0.