CHANGING THE BASE OF A LOGARITHM - Problem 3

Let a, b, and x be positive real numbers such that neither a nor b equals 1 (remember x must be greater than 0). Then can be converted to the base b by the formula .

Problem 3: Find .

Answer: The empty set. There is no solution.

Solution: By the definition of logarithms, the base must be greater than zero.

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Author: Nancy Marcus