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solve the exponential equation.
5^3x = 125
To solve the exponential equation 5^(3x) = 125, we need to express both sides with the same base.
First, we can rewrite 125 as 5^3 since 125 = 5 * 5 * 5 = 5^3.
Therefore, the equation becomes: 5^(3x) = 5^3
Now that the bases are the same, we can equate the exponents:
3x = 3
Divide both sides by 3:
x = 1
Therefore, the solution to the exponential equation 5^(3x) = 125 is x = 1.