12 replies to this topic

[Melchoire]

I'm having a hard time wrapping my head around this.

If you have an inequality like so

ln( C ) <= g

e^g ? C

So what inequality sign is that question mark?

[alphadark]

Humm dunno when its inequality but when its just '=' its...
ln( C ) = g == e^(ln( C )) = e^(g) == abs( C ) = e^(g)

Edited by alphadark, 17 October 2010 - 02:22 PM.

[Melchoire]

Humm dunno when its inequality but when its just '=' its...
ln( C ) = g == e^(ln( C )) = e^(g) == abs( C ) = e^(g)

Actually that sorta helped me get it. Thanks

if you have

log( c ) < g

you raise both sides to the same power and since it's not a negative base the inequality remains the same

e^{log( c )} < e^g
c < e^g

[Mr. Hobo]

'simple'

[epheris]

lnC <= g
e^lnC <= e^g
C <= e^g

Don't forget the equal sign !

Edited by epheris, 17 October 2010 - 03:17 PM.

[Melchoire]

'simple'

Just take those g12 math courses for now and it'll start making sense

[sircomflix]

You only switch inequalities when dividing or multiplying by a negative number. If you're ever unsure, you could always just take some arbitrary number as C and stick it into a calculator to confirm.

[Melchoire]

You only switch inequalities when dividing or multiplying by a negative number. If you're ever unsure, you could always just take some arbitrary number as C and stick it into a calculator to confirm.

Yep, but in this case I was unsure what would happen if I used each side as the exponent on 'e'. Rather than just doing it on a piece of paper I impulsively just posted a thread

[Noitidart]

You sure the sign flips? I thought it only changes when you divide?

edit:
nvm i see you didnt flip it nice
never new negative base caused a flip. thx mel for teaching me something new

[Melchoire]

You sure the sign flips? I thought it only changes when you divide?

edit:
nvm i see you didnt flip it nice
never new negative base caused a flip. thx mel for teaching me something new

Come to think of it I'm not entirely sure that it's that simple Say your base was a negative, then you have to make sure that fractional exponent is valid(can't take sqrt of negatives). Then there are cases where if the exponent is an odd number you end up with a negative number while you get a positive with even numbers. There are a few things to consider but as long as it's a positive base there's no need to flip the sign.


EXAMPLES!!!!!

1/2 < 1

-9^1/2 = undef but -9¹ is defined

2 < 3
-4² = 16
-4³ = -64

-4² > -4³ (the sign was flipped)

[ShadowLink64]

-9^1/2 = undef but -9¹ is defined

Sure it's defined. (-9)^1/2 = 3*i

... or should I return to the 'real' world?

[sircomflix]

Sure it's defined. (-9)^1/2 = 3*i

... or should I return to the 'real' world?

Imaginary numbers are too cool. What other number is denoted by a letter? None, thats who.

Pi just a poser.

[Melchoire]

Sure it's defined. (-9)^1/2 = 3*i

... or should I return to the 'real' world?

okay i'll bite. get real bro =P