SOLUTION: My questionis this. Solve for x. 33.5(3/4)^x = 50(2/3)^x How would I solve this??? Thanks!!!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: My questionis this. Solve for x. 33.5(3/4)^x = 50(2/3)^x How would I solve this??? Thanks!!!      Log On


   

Question 250669: My questionis this.
Solve for x.
33.5(3/4)^x = 50(2/3)^x
How would I solve this???
Thanks!!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
33.5(3/4)^x = 50(2/3)^x
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50/33.5 = (3/4)^x / (2/3)^x
---
[(3/4)/(2/3)]^x = 50/33.5
---
(9/8)^x = 50/33.5
----
x*log(9/8) = 1.4925..
x = 1.4925../[log(9/8)]
---
x = 29.1782...
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Cheers,
Stan H.