Question

choose x to max log(1-x)

Answer 1

k so u cant take log of a negative number .... its a property will be helpful to memorize it .... max x = 1

Answer 2

right..how would i solve with first order conditions?

Answer 3

it has no maximum value.. it goes to infinity as x goes to negative infinity

Answer 4

can you solve this with derivatives?

Answer 5

yeah
the derivative of log(1-x)=-1/(1-x)
when you set it equal to zero, it has no solution..
therefore, there are no extreme values to the given function

Answer 6

i see that makes sense, however in a similar problem the answer says x = 0, i.e., choose x to maximize (y - x)

Answer 7

sorry the question is choose x to
maximize log(y-x)

Answer 8

are you sure about the answer? that it's x=0

Answer 9

because I think negative values of x give greater values for the function log(y-x) than x=0

Answer 10

oh i think they are assuming that x greater than or equal to zero

Answer 11

I see

Answer 12

then i'm not sure how the derivate would yield x=0

Answer 13

any ideas?