If for all positive values of x , what is the value of ?

Question

Accepted Answer

The correct answer is . The value of can be found by first rewriting the left-hand side of the given equation as . Using the properties of exponents, this expression can be rewritten as . This expression can be rewritten by subtracting the fractions in the exponent, which yields . Thus, is . Note that 7/6, 1.166, and 1.167 are examples of ways to enter a correct answer.

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