Wednesday, May 28, 2014

High School Math Solutions – Exponential Equation Calculator

Solving exponential equations is pretty straightforward; there are basically two techniques:

  • If the exponents on both sides of the equation have the same base, you can use the fact that: If a^x=a^y   then x=y.  Now simply solve the equation.
  • In all other cases, take the log of both sides (this might require some manipulation) and solve for the variable.  The logarithm property ln(a^x)=xln(a) makes this a fairly simple task.

Let’s start with an example of exponents with the same base (click here):


Here’s another example that requires some manipulation to get the same base on both sides (click here):


Here’s an example using the logarithm properties (click here):


Cheers,
Michal

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