solve the equation
(5/2)^2=(125/8)
x=
where's the x in the equation?
ok let's try again. I am sorry.
(5/2)^x=(125/8)
x=
To solve the equation (5/2)^2 = (125/8) for x, we need to isolate x on one side of the equation.
Step 1: Simplify both sides of the equation.
(5/2)^2 = (125/8)
(25/4) = (125/8)
Step 2: Convert the fractions to have a common denominator.
(25/4) = (125/8)
To find a common denominator, we can multiply the denominator of the first fraction (4) by 2, and the denominator of the second fraction (8) by 1.
(25/4) = (125/8) * (2/2)
(25/4) = (250/16)
Now, both fractions have a denominator of 16, so we can proceed to the next step.
Step 3: Cross-multiply the fractions.
25 * 16 = 250 * 4
400 = 1000
Step 4: Notice that 400 is not equal to 1000. Therefore, the equation (5/2)^2 = (125/8) does not have a solution for x.
Conclusion: The equation does not have a solution.