Solve the exponential eqation

Question

5^3x=125

Answer 1

To solve the exponential equation 5^3x = 125, we need to rewrite 125 as a power of 5.

125 = 5^3

Now, we can rewrite the equation as:

5^3x = 5^3

Since the bases are the same, we can set the exponents equal to each other:

3x = 3

Now, divide both sides by 3 to solve for x:

x = 1

Therefore, the solution to the exponential equation 5^3x = 125 is x = 1.