The instructions say that, without a calculator, I have to find the exact value of each. I don't know how to do it at all, and no the last one is not a mistake. That;s what my book says exactly. I know it is odd.

ln √(e)

ln(e)^3

log√(2) 4

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- Feb 2nd 2010, 01:54 PMwallflowerLogarithm exact value help
The instructions say that, without a calculator, I have to find the exact value of each. I don't know how to do it at all, and no the last one is not a mistake. That;s what my book says exactly. I know it is odd.

ln √(e)

ln(e)^3

log√(2) 4 - Feb 2nd 2010, 02:02 PMpickslides
- Feb 2nd 2010, 02:06 PMwallflower
Thank you! I understand that! The only one I'm having trouble with are teh few that are like this one: log√(2) 4

- Feb 2nd 2010, 02:31 PMe^(i*pi)
- Feb 2nd 2010, 02:33 PMwallflower
Oh. I'm sorry! I mean log (√2) 4 with two being the base and 4 being completely outside. Basically the first one you posted

- Feb 2nd 2010, 02:42 PMe^(i*pi)
Okiedoke, for that one I'd use the change of base rule. I'm using log 2 as both numbers are powers of 2 but any base that is greater than 1 works

$\displaystyle log_{\sqrt2}(4) = \frac{log_2(4)}{log(\sqrt2)} = \frac{log_2(2^2)}{log_2(2^{1/2})} = \frac{2}{\frac{1}{2}} = 4$