Question

find the domain of f(x)= √(ln(x-2))

Answer 1

log (x-2 ) must be grater then zero so x is

Answer 2

HI!!

Answer 3

actually you need to solve \[\ln(x-2)\geq 0\]

Answer 4

do you know how to do that?

Answer 5

no

Answer 6

log 1=0

Answer 7

so x=2 is one solution?

Answer 8

\((x-2)> 0\)

Answer 9

In fact,
f(x)=lnx

ln(x)≥0 --> e^ln(x)≥e^0 --> x≥1

whereas the correct domain is
x>0

Answer 10

log 0 is not define so x-2 is greater then zero not equal to.

Answer 11

yes, i corrected that.

Answer 12

hmmm

Answer 13

this is not correct

Answer 14

\[\ln(x-2)\geq 0\] is the first step

Answer 15

then put in equivalent exponential form as \[x-2\geq e^0\]

Answer 16

since \(e^0=1\) we now have \[x-2\geq 1 \] solve that in one step

Answer 17

thank you

Answer 18

I apologize, didn't see the √ :)