Common Algebra Mistakes
Fragment: Order of Operations with Exponential Expression

The Mistake Fragment

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The Correction


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An Explanation

The ln(2) cannot be combined with the 2 since the 2 is raised to the power x while the ln(2) is not. The order of operations rules mean that 2 is raised to the power x first and then the result is multiplied by ln(2). The ln(2) and the 2 could be combined if both were raised to a common power, as follows:


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