What is the reciprocal of #log_b a#? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Kevin B. · Konstantinos Michailidis Apr 5, 2015 Assuming that #log_b(a)# is not equal to zero its reciprocal is #1/log_b(a)# A reciprocal of a number is simply #1# over that number. 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 does a logarithmic function look like? How do I graph logarithmic functions on a TI-84? How do you express a sum of logarithms for #log_5(125*25)#? See all questions in Functions with Base b Impact of this question 5207 views around the world You can reuse this answer Creative Commons License