What does the expression logb(A / C) equal?

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

The expression logb(A / C) can be simplified using the properties of logarithms, specifically the quotient rule. The quotient rule states that the logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. In this case, applying the rule gives us:

logb(A / C) = logbA - logbC

This means that the logarithm of A divided by C can be expressed as the logarithm of A minus the logarithm of C, which aligns perfectly with the provided answer. This fundamental property of logarithms helps in simplifying expressions and solving various mathematical problems involving logarithmic functions.

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