How do you simplify #log_3 5 + 5log_3 2#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Harish Chandra Rajpoot Jul 3, 2018 #\log_{3}160# Explanation: #\log_{3}5+5\log_{3}2# #=\log_{3}5+\log_{3}2^5# #=\log_{3}(5\cdot2^5)# #=\log_{3}(5\cdot32)# #=\log_{3}160# 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 3881 views around the world You can reuse this answer Creative Commons License