Laws of Exponents: e^(x-y) = e^x/e^y
In this video I go over further into the laws of exponents and prove that ex-y = ex/ey by using the natural logarithm function and using the log rules and properties to simplify and breakdown the function to obtain the exponent law.
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Laws of Exponents: ex-y = ex/ey
If x and y are real numbers and r is rational, then:
- ex+y = exey
- ex-y = ex/ey
- (ex)r = er x
Proof:
Ln is a one-to-one function: meaning that each y-value has exactly one x-value.