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Maths Methods
Exponential Equations



             K McMullen 2012
Exponential Equations
The equation ax=b is an example of a general
exponential (or indicial) equation
To solve these equations:
   If the unknown is an index make the bases the
   same
   If the unknown is a base then make the index the
   same
   If the base is not the same and the numbers can
   not be written with the same base, then logs can
   be used

log(x)>0 if x>1
Log(x)<0 if 0<x<1                      K McMullen 2012
Exponential Equations
Exponential equations (base e)

Euler’s number (e) is an irrational number and
has to be approximated.
   e=2.718281828459…

When working with Euler’s number just treat it
like you would any other number
   The same index laws apply
   The same log laws apply



                                     K McMullen 2012

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Methods7 exponential equations

  • 2. Exponential Equations The equation ax=b is an example of a general exponential (or indicial) equation To solve these equations: If the unknown is an index make the bases the same If the unknown is a base then make the index the same If the base is not the same and the numbers can not be written with the same base, then logs can be used log(x)>0 if x>1 Log(x)<0 if 0<x<1 K McMullen 2012
  • 3. Exponential Equations Exponential equations (base e) Euler’s number (e) is an irrational number and has to be approximated. e=2.718281828459… When working with Euler’s number just treat it like you would any other number The same index laws apply The same log laws apply K McMullen 2012