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OT: Converting y = Ae^bx to base 10

Posted By: Jason Lee
Date: Sunday, 29 January 2012, at 3:48 p.m.

In Response To: OT: Converting y = Ae^bx to base 10 (Casper van der Tak)

Let me give you the why... you've got the equation e^bx = 10^cx and you are trying to solve for c.

e^(bx) = 10^(cx)

Take the base 10 log of both sides: log10(e^(bx)) = cx

Use a log of exponents/logs: bx log10(e) = cx

Solve for c: b log10(e) = c

JLee

Messages In This Thread

• OT: Converting y = Ae^bx to base 10
  leobueno -- Sunday, 29 January 2012, at 3:12 p.m.
  • OT: Converting y = Ae^bx to base 10
    Casper van der Tak -- Sunday, 29 January 2012, at 3:22 p.m.
    • OT: Converting y = Ae^bx to base 10
      Jason Lee -- Sunday, 29 January 2012, at 3:48 p.m.
      • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
        leobueno -- Sunday, 29 January 2012, at 7:20 p.m.
        • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
          Sam Pottle -- Sunday, 29 January 2012, at 9:14 p.m.
          • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
            Jake Jacobs -- Monday, 30 January 2012, at 2:38 a.m.
            • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
              Michael Petch -- Monday, 30 January 2012, at 3:56 a.m.
          • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
            leobueno -- Monday, 30 January 2012, at 1:44 p.m.
            • OT: Converting y = Ae^bx to base 10 - How does Excel calculate b ???
              Sam Pottle -- Monday, 30 January 2012, at 3:43 p.m.