Simplification

**xwrathbringerx** · August 12th 2009, 05:37 AM

Hi

It's me again. lol

How do i simplify:

i) e^(1/2)^(ln x)

ii) ln(e^(sinx))

I hav no IDEA how to do i). Is ii) sinx?

Thanx a lot.

**red_dog** · August 12th 2009, 06:37 AM

1) Isn't it $\left(e^{\frac{1}{2}}\right)^{\ln x}$ ?

If it is so, then $\left(e^{\frac{1}{2}}\right)^{\ln x}=e^{\frac{1}{2}\ln x}=e^{\ln\sqrt{x}}=\sqrt{x}$

2) $\ln\left(e^{\sin x}\right)=\sin x$

Remember that $e^{\ln a}=\ln e^a=a$

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