hscishard
Active Member
I think this is off topic for hsc maths for some reason
From what I've read, logax=y
a needs to be positive, thus x needs to be positive
What about equations like these
^y = x )
where a is positive. x and y can be either negative or positive.
I've done
^y(a)^y = x)
^y = x(-1)^y )
+ln(x))
+ln(x)}{lna} )
}{ln(a)-ln(-1)})
ln(-1) isn't possible. If we don't use the absolute value thing(which I think you shouldn't in this case), we get an undefined y value. Though it's possible to find a real y value.
So is there some extension on the logs to find powers with negative bases?
From what I've read, logax=y
a needs to be positive, thus x needs to be positive
What about equations like these
where a is positive. x and y can be either negative or positive.
I've done
ln(-1) isn't possible. If we don't use the absolute value thing(which I think you shouldn't in this case), we get an undefined y value. Though it's possible to find a real y value.
So is there some extension on the logs to find powers with negative bases?