Solve the exponential equation
5^3x = 125
To solve the equation 5^(3x) = 125, we need to rewrite 125 as a power of 5.
125 = 5^3
So the equation becomes:
5^(3x) = 5^3
Since the bases are the same, we can equate the exponents:
3x = 3
Now, divide both sides by 3 to solve for x:
3x/3 = 3/3
x = 1
Therefore, the solution to the exponential equation 5^(3x) = 125 is x = 1.