How do you evaluate log_16 57.2? Precalculus Properties of Logarithmic Functions Functions with Base b 1 Answer Harish Chandra Rajpoot Jun 24, 2018 1.4594858104727568 Explanation: Applying the logarithms formula, \log_{a}b=\frac{\log_{10}a}{\log_{10} b} \log_{16}57.2 =\frac{\log_{10}57.2}{\log_{10}16} =\frac{\log_{10}57.2}{4\log_{10}2} =\frac{1.757396028793024}{1.2041199826559246} =1.4594858104727568 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 2201 views around the world You can reuse this answer Creative Commons License