关于0.35对数点（log points）转换为百分比的技术咨询

Hey there! Let's break this down nice and clearly since you're totally new to this—no worries, it's simpler than it sounds once you get the hang of it.

First off, your calculation is absolutely correct! Let's walk through why that formula works and verify the number step by step:

• Log points (specifically natural log points here) measure the change in the natural logarithm of a value. So if you have a log point change of 0.35, that means the natural log of your final value minus the natural log of your starting value equals 0.35.
• To turn that log change into a percentage change, the formula you used is exactly right: (e^(log points) - 1) * 100
• Let's plug in the numbers:
  1. Calculate e^0.35—that's approximately 1.419
  2. Subtract 1: 1.419 - 1 = 0.419
  3. Multiply by 100 to get the percentage: 0.419 * 100 ≈ 41.9%, which rounds up to the 42% you guessed.

Just to add a quick context: This formula comes from the fact that ln(y) - ln(x) = ln(y/x). If that difference is 0.35, then y/x = e^0.35, so the proportional change is (y-x)/x = e^0.35 - 1—hence the percentage conversion.

备注：内容来源于stack exchange，提问作者Noah101