How do you find the domain and range of # y = log_5x#? Precalculus Functions Defined and Notation Domain 1 Answer George C. Jul 19, 2015 #f(x) = log_5 x# is the inverse of the function #e(x) = 5^x# which has domain #(-oo, oo)# and range #(0, oo)#. So the domain of #log_5 x# is #(0, oo)# and range is #(-oo, oo)# Explanation: The domain of #e(x) = 5^x# is the whole of #RR#, that is #(-oo,oo)#, but its range is #(0, oo)#. So the domain of its inverse #y = log_5 x# is #(0,oo)# and its range is #(-oo,oo)# Answer link Related questions What is the domain of a function? What are common mistakes students make when working with domain? How does the domain of a function relate to its x-values? What is the domain of a linear function? What is the domain of a quadratic function? What is the domain of a function like #f(x) = 5x^2#? What is the domain of #f(x) = {(1, 2), (3, 4), (5, 6), (7, 8), (9, 10), (10, 10)}#? What is the domain of #f(x) = x#? How do I find the domain of the function #f(x) = 2x#? How do I find the domain of the function #f(x)=5x^2+2x-1#? See all questions in Domain Impact of this question 5033 views around the world You can reuse this answer Creative Commons License