How do you expand #log_b(5b^4)#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Shwetank Mauria Aug 22, 2016 #log_b 5b^4=4+log_b 5# Explanation: #log_b 5b^4# = #log_b(5×b^4)# = #log_b 5+log_b b^4# = #log_b 5+4# 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 1610 views around the world You can reuse this answer Creative Commons License