135lb x 5 x 3 is three sets of five, 5 x 3 is (should be) five sets of three
135lb x 5 x 3 is three sets of five, 5 x 3 is (should be) five sets of three
Even more confusing is the few places in the book (Barbell Rx) that are switched to the common 3 x 5 for 3 sets of 5. Hopefully those will be teased out in a future edition.
I actually got into an argument with a trainer at my gym over this when he took a look at my log. My logic was similar to the above--- you perform the given number of reps at a given weight, then at the end of those reps, a set is earned.
Also, in the case of warmup sets (or single set work sets), it's more efficient to use "300 x 5" (weight, reps) rather than "300 x 5 x 1" (weight, reps, sets).
It's the way God notes your sets and reps.
3x5@300lbs five sets of three at 300lbs.
300x5x3 300lbs for three sets of five. It allows you to fill in the number of sets completed when you finish.
Don't fight it. Just do it the right way.
Or, consider this:
5 x 300, 5 x 300, 5 x 300
You can reverse that notation and it still conveys the same thing without confusion. It provides granularity if you miss a rep, or are not working with sets across, and gives you something to do between sets. When doing something like 5x5, it helps keep track of how many sets have been completed as you go. As a bonus, it takes longer to write and consumes more space on the page!
I've logged my workouts - Sets, Reps, Weight for over 40 years. 3X5 @ 300 = 3 sets of 5 reps @ 300 pounds.