SOLUTION: Hey, I'd be very, very grateful if you could solve the following for me: 5/10^(2x)=7 Thank you so much. :)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hey, I'd be very, very grateful if you could solve the following for me: 5/10^(2x)=7 Thank you so much. :)      Log On


   

Question 557780: Hey,
I'd be very, very grateful if you could solve the following for me:
5/10^(2x)=7
Thank you so much. :)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I'd be very, very grateful if you could solve the following for me:
5/[10^(2x)]=7
10^(2x)=5/7
take log of both sides
(2x)log10=log5-log7
2x=log5-log7
x=(log5-log7)/2≈-0.0731