Determine the domain of the following functions Use interval

Determine the domain of the following functions. Use interval notation to express your answer.

a. p(n)= log5(n)

b. t(s) = 3log6(s)

Solution

a. p(n)= log ₅n

log cant take negative values or zero

Therefore domain is all positive real numbers

(0,infinity)

b. t(s)=3log₆s

Here again x cant take negative value or zero

Therefore domain is (0 , infinity)