I have a logarithmic scale of 0.3,1,4,20,110 which relates to 1,2,3,4,5 respectively. Now, I want to find out as to where the value 25 would lie on the scale above? And also, going the other way round, how would I find out as to what the value for 2.3 interpret to on the scale. Would be great if someone can help me with the answer and explanation for this.
2026-04-26 02:03:40.1777169020
Log Scale Problem
49 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
Your scale seems quite weird, since the quotient between two marks are not equal :P This has nothing to do with solving your problem though.
For a log scale, (e.g. 2,6,18,54...), finding where the number is (like, where $c$ lies in $[a,b]$)is the same as solving $\frac{\text{ln}c-\text{ln}a}{\text{ln}b-\text{ln}a}$, which can be evaluated by calculators, by looking up a logarithm function table, or by approximating it using all sorts of approximation methods (e.g. Newton's method, Taylor expansion).
Hope this helps :)