lameloser lameloser
  • 15-05-2017
  • Mathematics
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Exponential to log : y=bx

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mreijepatmat
mreijepatmat mreijepatmat
  • 15-05-2017
I believe the equation is as follows:

y=bˣ , if so :

We know that exponential functions are one-to-one. Being one-to-one functions mean they have an inverse, then the inverse of:
y=bˣ is its logarithmic function that is log(b).x=y, where b is the base of the logarithm .Example

Suppose y=25, the base b=5 & x the number

The exponential form is 5ˣ = 25
& its logarithmic form: x= log₅(25)
The exponential form is equivalent to the logarithmic form:

5ˣ = 25 ==>x= log₅(25)

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