I have x/4 = lny This simplifies to y=e^(x-4)

Can someone help me understand the basic inverse properties of ln and e that would make x/(4 x ln)=y simplify to the answer above? Thanks.

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- Sep 17th 2011, 09:01 AMbenny92000Help simplifying basic expression with e
I have x/4 = lny This simplifies to y=e^(x-4)

Can someone help me understand the basic inverse properties of ln and e that would make x/(4 x ln)=y simplify to the answer above? Thanks. - Sep 17th 2011, 09:16 AMSironRe: Help simplifying basic expression with e
Use the definition of the logarithm:

- Sep 17th 2011, 09:18 AMTKHunnyRe: Help simplifying basic expression with e
I'm not sure "simplify" is the right word.

You should have this property...The following Two statements are identical.

1)

2)

For suitable a, b, and c.

How does this apply to your problem statement?

Revise: See, SIRON even called it a "Definition". It's not really a "simplify" thing. - Sep 17th 2011, 09:29 AMbenny92000Re: Help simplifying basic expression with e
I understand the two statements and the conversion you guys give, but I don't know how to apply them correctly to this problem.

- Sep 17th 2011, 12:27 PMSironRe: Help simplifying basic expression with e
You can say:

- Sep 17th 2011, 12:59 PMe^(i*pi)Re: Help simplifying basic expression with e
- Sep 17th 2011, 01:44 PMbenny92000Re: Help simplifying basic expression with e
I don't remember the exact question. I understand it now. Thanks!