Correct:Well, it's been a long time since I had to do logarithms, etc, but 10x indicates that you multiply 10 by itself x times. Right? 102 = 10x10, 103 = 10x10x10, etc.
And (T-S)/10 indicates that you want to find how many times 10dB is added between sensitivity and target loudness. So, 10x power every +10dB (e.g., 10db = 10mW, 20dB =100mW, 30dB = 1,000mW), unless I'm really misunderstanding something.
It's the same basic math as what I showed above, but with 10 and 10 instead of 2 and 3.
+10dB is 10-fold if you calculate with Power, because Power is a squared measure: P=U2/R
+20dB is 10-fold if you calculate with Voltage, because Voltage U is a linear measure, a basic physical quantity.
That's how dB (dezi-Bell) is defined.
This way you get the same dB value if you turn a volume dial, no matter if you calculate with Power or Voltage.
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