Question

find the real values of x that the expression cannot take. log 4 (2x+1)=y

Answer 1

You cannot take the log of a negative number.


So 2x+1 cannot be negative. If it were, then


2x+1 < 0

2x < -1

x < -1/2

So x cannot be values that are less than -1/2

Answer 2

2x +1 < 0
2x < -1
x < -1/2 cannot be values of x because they produce 0 or negative numbers.

Answer 3

oh you can't take the log of zero either.


So it's really x <= -1/2

Answer 4

So this means that x = -1/2 also isn't allowed.