Question

Determine the coordinates of the point of intersection of the graphs y = log(x-2) and y= 1 - log(x+1).

Answer 1

to get the points of intersection, just solve those 2 equations simultaneously.

y = log(x-2) and y= 1 - log(x+1).

gives
log(x-2) =1 - log(x+1).

got this ?
can you solve for x there ?

Answer 2

how ?

Answer 3

@hartnn x=-3, 4.

Answer 4

did u post x=-3 , 4 ?

Answer 5

oh yes, those are correct :)

Answer 6

so, when y = log (x-2) and x=4, what is y=.. ?

Answer 7

@hartnn y = log2.

Answer 8

now you should note that log of negative numbers is not defined!
so, x CANNOT take the value of -3
so, only value of x is 4
and only point of intersection is (4,log 2)
makes sense ?

Answer 9

@hartnn So the answer is (4, log2)?

Answer 10

yes, absolutely :)

Answer 11

@hartnn But the answer stated here is (0, -1).... O.o

Answer 12

but x cannot take the value = 0, then log (0-2) = log (-2) is actually not defined.
thats surely not the answer...

Answer 13

see i verified it online too
http://www.wolframalpha.com/input/?i=log%28x-2%29+%3D1+-+log%28x%2B1%29.&a=*FunClash.log-_*Log10-

if you see the graph there, it has x=4, and y=log 2

Answer 14

the answer has to be 4, log 2 :)
there must be some typing error in your answer sheet....

Answer 15

@hartnn Oh, okay.... Thank you so much!!

Answer 16

welcome ^_^