Solve for x 3^x=27

Problem

3=27

Solution

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

2. Rewrite the right side of the equation, 27 as a power with the same base of 3

3. Recognize that 3⋅3⋅3=27 which means 27=3

4. Substitute the new expression back into the equation.

3=3

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

x=3

Final Answer

3=27⇒x=3

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