The quotient rule for logarithms says that the logarithm of a quotient is equal to a difference of logarithms. Just as with the product rule, we can use the inverse property to derive the quotient rule.

The quotient logarithm law: When subtracting logarithms with the same base, the first logarithm is divided by the logarithm being subtracted. 10 is divided by 5 inside the logarithm to obtain log (2).

Jan 13, 2026 · The quotient rule asserts that the logarithm of a quotient equals the difference between the numerator and denominator logarithms. Formula: loga(X/Y) = logaX - logaY

Feb 16, 2026 · Learn the log quotient rule in mathematics and understand how the logarithm of a quotient equals the difference of the logs, with step-by-step examples.

Quotient Rule of Logarithm Logarithm of the quotient of two numbers is equal to the difference of their logarithms to the same base. In other words, we can simplify the subtraction of two logarithms, if the …

Study the proofs of the logarithm properties: the product rule, the quotient rule, and the power rule.

This video is a demonstration of the Quotient Rule of Logarithms. Show Step-by-step Solutions

Jul 8, 2025 · The Quotient Law for Logarithms says that the logarithm of a quotient is equal to a difference of logarithms. Just as with the Product Law, we can use the Inverse Law to derive the …

Formula and example problems for the product rule, quotient rule and power rule. Also, free downloadable worksheets on these topics.

The quotient rule for logarithms states that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator: $\log_b \left ( \frac {M} {N} \right) = \log_b M - \log_b …