Solve for x 3^x=9

Problem

3=9

Solution

1. Identify the base of the exponential expression on the left side, which is 3

2. Rewrite the right side of the equation, 9 as a power with the same base of 3

9=3

3. Substitute the new expression back into the original equation.

3=3

4. Apply the property of equality for exponential functions, which states that if bx=by and b>0,b≠1 then x=y

x=2

Final Answer

x=2

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