Solve for x 2^x=16

Problem

2^x=16

Solution

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

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

3. Calculate the exponent needed since 2⋅2⋅2⋅2=16 which means 16=2^4

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

5. Equate the exponents because the bases are equal.

6. Solve for the variable x

Final Answer

x=4

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