# Simplifying exponents

• September 27th 2011, 07:20 PM
l flipboi l
Simplifying exponents
Is this legal? e^(xc)=6 --> (e^(c))^x = 6

I need to find a number C such that e^(xc)=6.

Thanks,
• September 27th 2011, 07:43 PM
pickslides
Re: Simplifying exponents
You have $1+e^c+e^{2c}+e^{3c}+\dots = 6$

Using the sum of an infinite geometric series $S_{\infty} = \frac{a}{1-r}$

Now simplify the LHS, you can then solve for $c$
• September 27th 2011, 09:01 PM
l flipboi l
Re: Simplifying exponents
Thanks, i'm kinda stuck with trying to solve the problem still..

I know this: r = e^c and a = 1.

so

6 = 1/1-e^c --> 6 = (1-e^c)^-1 is that on the right track?
• September 27th 2011, 09:33 PM
pickslides
Re: Simplifying exponents
Yep, now just solve for c.