Given #log_b 2= 0.3562#, #log_b 3=0.5646#, and #log_b 5=0.8271#, how do you evaluate #log_b(5/3)#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer A. S. Adikesavan May 28, 2016 #0.2625# Explanation: Use #log_b (m/n) =log_b m-log_b n# Here, #log_b(5/3)=log_b 5-log_b 3=0.8271-0.5646=0.2635#. Answer link Related questions What is the exponential form of #log_b 35=3#? What is the product rule of logarithms? What is the quotient rule of logarithms? What is the exponent rule of logarithms? What is #log_b 1#? What are some identity rules for logarithms? What is #log_b b^x#? What is the reciprocal of #log_b a#? What does a logarithmic function look like? How do I graph logarithmic functions on a TI-84? See all questions in Functions with Base b Impact of this question 2947 views around the world You can reuse this answer Creative Commons License