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[SOLVED] f(x)=ab^{x} where b must be a positive real number

Avalance789

New member
Nov 26, 2018
13
Quote: "In mathematics, an exponential function is a function of the form

f(x)=ab^{x}

where b is a POSITIVE REAL number"

Wait. Give me a reason, why exponent base must be positive and real?

What happens if b<0?
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,104
The Astral plane
Quote: "In mathematics, an exponential function is a function of the form

f(x)=ab^{x}

where b is a POSITIVE REAL number"

Wait. Give me a reason, why exponent base must be positive and real?

What happens if b<0?
What happens if b = -1 and x = 1/2?

-Dan
 

Avalance789

New member
Nov 26, 2018
13
It means sqrt{-1}?

Отправлено с моего SM-A750FN через Tapatalk
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,104
The Astral plane
It means sqrt{-1}?

Отправлено с моего SM-A750FN через Tapatalk
Exactly. And as i is not real number we can't use it for what you seem to be working with.

-Dan
 

Avalance789

New member
Nov 26, 2018
13
Ok, got it. So from this point we get into complex numbers.

Thank you!

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