Solve for x 5^x=125

Problem

5=125

Solution

1. Identify the base of the exponential expression on the left side, which is 5

2. Rewrite the right side of the equation, 125 as a power with the same base of 5

3. Recognize that 5×5×5=125 so 125=5

4. Substitute the new expression back into the equation.

5=5

5. Apply the property of equality for exponential functions, which states that if bx=by then x=y

x=3

Final Answer

5=125⇒x=3

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