Question

Find the domain of each function.
(a) y = log4(7x)



(b) y = log10(3 − 8x)






(c) y = ln(x2)



(d) y = (ln(x))2



(e) y = ln(x2 − 49)

Answer 1

c. ln(x^2)

d. y=ln((x))^2

Answer 2

rembr x cant be 0 or 1as its log

Answer 3

For all logarithms, the domain is anywhere the argument is <0. So just set the arguments all to zero. For example, the first one would be x>0.
The second would be 3-8x>0
3>8x
x<3/8

Answer 4

thanks that is easy to remember

Answer 5

Anywhere the the argument is >0. That is a mistype on my part. And logs can be 1 Ishaan. For example e^0=1 So ln(1)=ln(e^0)=0.