Question

What is the domain of log base 4 of (x+3)?

all real numbers less than –3
all real numbers greater than –3
all real numbers less than 3
all real numbers greater than 3

Answer 1

Answer: answer is B

Explanation:

Answer 2

domain is the set of numbers you can use for x

log_4(x+3)=y means
I mean it translates to
4^y=x+3
remember that x^m≥0 for all real values of x and m
it actually can equal 0 only when x=0 or when x is very small
so

therfor since 4^y>0, x+3>0 as well
solving we get
x>-3

all rea lnumbers greater than -3

2nd option