If , which of the following must be true?
Select an Answer
The correct answer is D.
One way to determine which equation must be true is to apply the laws of logarithms to the given equation. It is given that , so must be true. One of the laws of logarithms states that must be true. Therefore, must be true.
Alternatively, one can recall the definition of logarithms. The logarithm of to the base ,represented by the symbol , is the exponent to which the base must be raised to obtain . In other words, means precisely that .