What is the reciprocal of log_b a? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Kevin B. ยท 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 5641 views around the world You can reuse this answer Creative Commons License