Question

find the domain of the logarithmic function a) f(x)=log (10-3x) b) f (x)=ln x + ln(2+x) show work

Answer 1

for a 10 - 3x >0
-3x> -10
x<10/3

Answer 2

for b both x and 2+ x must be > 0

so x > 0 satisfies both