SOLUTION: Please help me find x to the nearest hundredth: {{{ 600=20e^( 2x ) }}} This is what i have so far: 600/20= 20e^2x/20 30=e^2x log30=elog2x I am not sure what to do from here.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me find x to the nearest hundredth: {{{ 600=20e^( 2x ) }}} This is what i have so far: 600/20= 20e^2x/20 30=e^2x log30=elog2x I am not sure what to do from here.       Log On


   

Question 414835: Please help me find x to the nearest hundredth: +600=20e%5E%28+2x+%29+
This is what i have so far:
600/20= 20e^2x/20
30=e^2x
log30=elog2x
I am not sure what to do from here.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have 600+=+20e%5E%282x%29

e%5E%282x%29+=+30 Take ln of both sides.

2x+=+ln%2830%29

x+=+ln%2830%29%2F2