How do you find the domain and range of # y = log_5x#?

1 Answer
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)#