Try To Solve It Graphically!

Algebra Level 3

$\large x-\ln(x)=2$

How many real solutions for $x$ exist for the above expression?

1 solution

Rishabh Jain
Mar 9, 2016

Graphs of $y=x-2$ and $y=\ln x$ intersect at two points.

Perfect solution. Surprising, the Year 12's solving this decided to graph $x - \ln(x)$ .

Sharky Kesa - 5 years, 3 months ago

Ya.... Right .. Its important to realise which graphs are most appropriate to be drawn to reach at the answer.. :-)

Rishabh Jain - 5 years, 3 months ago

Just Saw Raw! It was awesome

Department 8 - 5 years, 3 months ago

@Department 8 – Yeah Dean Ambrose did the right thing to HHH at the end- He deserved that only :-)

Rishabh Jain - 5 years, 3 months ago

@Rishabh Jain – Yes :-) try https://youtu.be/qWPVTGV6uoM

Department 8 - 5 years, 3 months ago

@Department 8 – Amazing !! I couldn't stop laughing.. ;-)

Rishabh Jain - 5 years, 3 months ago

@Rishabh Jain – That's EIC I know they are one of the best comedians subscribe it and see other old videos

Department 8 - 5 years, 3 months ago

Solutions by graph sketching can be dubious. There should be a proper supporting evidence for why there isn't further possible intersections.

Calvin Lin Staff - 5 years, 3 months ago

I am in year 12 and I still plotted $y = x -2$ and $y = \ln x$

A Former Brilliant Member - 5 years, 3 months ago