Solve for x 4^x=16

Problem

4^x=16

Solution

1. Identify the base on the left side of the equation, which is 4

2. Rewrite the right side of the equation, 16 as a power with the same base of 4

3. Recognize that 16=4^2 so the equation becomes 4^x=4^2

4. Apply the property of equality for exponential functions, which states that if b^x=b^y then x=y

5. Equate the exponents to find the value of x

Final Answer

x=2

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