# Math Help - Natural Log help

1. ## Natural Log help

I'm stuck on this question;

Suppose c is a number such that area(1/x,1,c)> 1000. Explain why c> 2^1000

can someone clarify what natural log is for me?

thank you so much (:

2. Originally Posted by dondonlouie
I'm stuck on this question;

Suppose c is a number such that area(1/x,1,c)> 1000. Explain why c> 2^1000
I assume by ‘area’ you mean $\int_1^c {\frac{{dx}}{x}} = \ln (c)$.

So you want to solve $\ln(c)>10^3$. Recall that $e^{\ln(c)}=c.$

3. Originally Posted by Plato
I assume by ‘area’ you mean $\int_1^c {\frac{{dx}}{x}} = \ln (c)$.

So you want to solve $\ln(c)>10^3$. Recall that $e^{\ln(c)}=c.$
wouldn't it just be 1000?

4. Originally Posted by dondonlouie
wouldn't it just be 1000?
No indeed!

If $\ln(c)>1000$ then $c>e^{1000}.$