Question

for t>=0, find when tlnt-t>0

Answer 1

u want to \[t \ln t-t >0\]factor out \(t\) u have\[t(\ln t-1)>0\]now note that \(t>0\) so u just need to find \(t\) such that \(\ln t-1>0\)

Answer 2

Following on from the explanation by @mukushla:
\[\ln t >1\]
Consider what happens when ln t = 1. In this case t equals the exponential number e.
Therefore the required condition (t * ln t) - t >0 is met when t > e

Answer 3

@omgitsana I hope you now understand the solution.