Question

Find x > 3 such that

ln(x) < x^(0.1)

Answer 1

did you try graphing both ln(x) and x^(.1)

Answer 2

try a value btw x=0 and x=3

Answer 3

x^0.1 will be greatly large
however if rearrange them to e^x^0.1<x this is true as well

Answer 4

not including 0 of course

Answer 5

but you can include 3

Answer 6

so to be more exact
0<x<=3

Answer 7

but if rearrange them e^x^0.1-x<0 this is true because e^(Positive number)= big number thus, it can be greater or equal to 3

Answer 8

I don't think there is a solution because a condition of the problem is that x is greater than 3

Answer 9

there is no x>3 such that inequality holds
since my inequality is the only one that satisfies the inequality you gave