Question

Plz help me

What is the domain of y=log4(x+3)?
A.all real numbers less than –3
B.all real numbers greater than –3
C.all real numbers less than 3
D.all real numbers greater than 3

Answer 1

First of all the domain of the logarithm function is all real numbers such that x>0.
When you add 3
all real numbers such that x+3>3 or
the answer
B
all real number such that x>-3.

Answer 2

Option B - All real numbers greater than -3.

Explanation:

Given : Function
`y=\log_4(x+3)`

To find : What is the domain of function ?

Solution :

The domain is all values of x that make the expression defined.

Function
`y=\log_4(x+3)`

Applying logarithmic property,

`y=\log_a x\Rightarrow a^y=x`

`4^y=x+3`

We know that, exponent is always greater than 0
`x^y> 0`

So,
`4^y>0`

i.e.
`x+3>0`

`x>-3`

The domain of the function is
`x>-3`

i.e. All real numbers greater than -3.

Therefore, Option B is correct.