title: Convert Linear scale to Logarithmic
body: <p>I have a linear scale that ranges form 0.1 to 10 with increments of change at 0.1:<br />
  &nbsp;&nbsp;|----------[]----------|<br>
  0.1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;10</p>
  
  <p>However, the output really needs to be:<br />
  &nbsp;&nbsp;|----------[]----------|<br>
  0.1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;10 (logarithmic scale)</p>
  
  <p>I'm trying to figure out the formula needed to convert the 5 (for example) to 1.0.
  Consequently, if the dial was shifted halfway between 1.0 and 10 (real value on linear scale being 7.5), what would the resulting logarithmic value be? Been thinking about this for hours, but I have not worked with this type of math in quite a few years, so I am really lost. I understand the basic concept of log<sub>10</sub>X = 10<sup>y</sup>, but that's pretty much it.</p>
  
  <p>The psuedo-value of 5.0 would become 10 (or 10<sup>1</sup>) while the psuedo-value of 10 would be 10<sup>10</sup>. So how to figure the pseudo-value <em>and</em> resulting logarithmic value of, let's say, the 7.5?</p>
  
  <p>Let me know if addition information is needed.</p>
  
  <p>Thanks for any help provided; this has beaten me.</p>