What's wrong when the video goes in and out?

Chances are Tom is wrong again and its not the power board, this model set was known for backlight issues...don't replace the power supply before testing the LED's in the panel

Type:
ln(3)/(2ln(3)-ln(5))

See captured image below

To have an idea what's going wrong with your set, watch the video below...

Sorry, it may be too late for your exam, but here is the answer.
You should enclose the 4ln(1.0125) in parentheses otherwise the calculator will interpret your expression as ln(2)/4 times ln(1.0125).
Here is screen capture that shows you how it is interpreted.
On the top line you have ln(2)/(4*ln(1.0125)), on the middle line ln(2)/4*ln(1.0125), and on the bottom line you have 0.25*ln(2)/ln(1.0125).

No, you cant. I have 2 tvs just like yours but the LN model is newer than the SP model tv. I have the same problem, my LN tv has a cracked screen and the other SP model is good

thats a good assumption. try multiple sources and see if its just the one source. if its fuzzy, maybe youre using coax cable?? and the cable is bad or has poor signal. try tightening all the connections and making sure the cables are ok, let me know if this doesn't help.

Is it still covered under warranty?

If not - you have a bad processing board and will need to be replaced.
Blessings,
A/V Guy

Replacing the capacitors would be a good start. Replace all the ones with the same capacitance and voltage rating even if they do not look bulge.
Let me know if you require further assistance.

https://youtu.be/NcAQytrSsVw

I have the same problem