Asked by sh
state the values of x for which the following identiy is true
log(x+2) + log(x+3) = log(x^2+5x+6)
a) x> -2
b) x> -3
Why is the answer a and not b?
If it was b, then it would include -2
log(x+2) + log(x+3) = log(x^2+5x+6)
a) x> -2
b) x> -3
Why is the answer a and not b?
If it was b, then it would include -2
Answers
Answered by
PC
For the identity to be true, the values inside the log functions have to be greater than zero.
Try sketching the function x^2+5x+6 in the x-y plane, you will see that the value of the function is greater than zero when x>-2 and x<-3.
Now repeat the same for x+2 and x+3.
Would (a) or (b) satisfy all three conditions?
Try sketching the function x^2+5x+6 in the x-y plane, you will see that the value of the function is greater than zero when x>-2 and x<-3.
Now repeat the same for x+2 and x+3.
Would (a) or (b) satisfy all three conditions?
Answered by
sh
Ohh I see it now, thanks a bunch :P
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