Math Is Fun Forum

LuisRodg

Real Member

Registered: 2007-10-23

Posts: 322

Simple but I guess im dumb.

Was just doing some Calculus homework in which I got the answer to be:

[0.5e^(2ln2)] - 0.5

What property do I use to simplify e^(2ln2)?

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Simple but I guess im dumb.

I checked in the formula's section of this forum
and this wasn't in it explicitly, but might be
implied from 2 other equations.
This MIGHT be right:

Here are two formulas similar to those I found.

n ln(m) = ln(m^n)
where m may be restricted to values above zero??

e^(ln(s)) = s, and s may have to be above zero??

Last edited by John E. Franklin (2008-01-14 17:43:51)

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mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Simple but I guess im dumb.

I see it in a slightly different way, but I get the same answer as John.
Using laws of powers, e^(2ln2) = e^(ln2 x 2) = (e^ln2)^2.

Clearly, e^ln2 = 2, and so the answer is 2^2 = 4.

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luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: Simple but I guess im dumb.

which continuing gives 1.5 for the full expression

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