
Richter scale
Hi!
I would really appraciate som help with this following problem. My apologies if this is en the wrong thread but im a swede and my english terms in mathematics isn't all that great :P
Now for the task:
$\displaystyle
M = 2/3(log10E4.4)
$
M is the magnitude and E the energy which is released during and earthquake.
> Solve this equation with respect to E..
> A powerful earthquake has the magnitude 8.0 on the Richterscale. How much energy i released in such an earthquake?
I've started with this one:
$\displaystyle 8.0 = 2/3(log10E4.4) $
$\displaystyle 12 = log10E4.4 $
$\displaystyle 16.4 = log10E $
and now im stuck :)
Any help regarding these two tasks would be great :)
Best Regards

$\displaystyle Log10E = 16.4
Log10E = Log 16.4$ Take log of the other side of the equation
E = Log16.4/Log10[/tex]
E = 1.2148
Hope it helps.

thank you for the quick reply!
I thought this was the next step but i got confused regarding the result.
Isn't it to small? 1.21... Joule sounds very little when it supposed to be a big earthquake?
thx again

BobBall was thinking that your "log10E" was "logarithm of 10 times E" when I think you meant "$\displaystyle log_{10}E$, the "logarithm, base 10, of E".
So from $\displaystyle log_{10}E= 16.4$ use the inverse logarithm ($\displaystyle 10^x$ on a calculator to get 25118864315095801, approximately.