How do you expand #log_9(vw^5sqrtu)#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Harish Chandra Rajpoot Jul 2, 2018 #\log_9(vw^5\sqrtu)# #=\log_9(vw^5u^{1/2})# #=\log_9v+\log_w^5+\log_9u^{1/2}# #=\log_9v+5\log_9w+1/2\log_9u# #\forall\ \ u, v, w>0# 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 1375 views around the world You can reuse this answer Creative Commons License