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 4242 views around the world You can reuse this answer Creative Commons License