Solve for x 2^x=8

Problem

2=8

Solution

1. Identify the base of the exponential expression on the left side, which is 2

2. Rewrite the right side of the equation, 8 as a power with the same base of 2

3. Recognize that 8=2⋅2⋅2 which can be written as 2

4. Substitute the new expression into the equation to get 2=2

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

6. Equate the exponents to find the value of x

Final Answer

x=3

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