SOLUTION: Solve for x: 3^sqrt(21x) = 12^sqrt(21)

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Question 1014465: Solve for x: 3^sqrt(21x) = 12^sqrt(21)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

You can use either log or ln.  You will get the
same answer either way. 





sqrt%2821x%29log%28%283%29%29%22%22=%22%22sqrt%2821%29log%28%2812%29%29

sqrt%2821%29sqrt%28x%29log%28%283%29%29%22%22=%22%22sqrt%2821%29log%28%2812%29%29

Divide both sides by sqrt%2821%29

sqrt%28x%29log%28%283%29%29%22%22=%22%22log%28%2812%29%29

Divide both sides by log(3)

sqrt%28x%29%22%22=%22%22log%28%2812%29%29%2Flog%28%283%29%29

Square both sides:

x%22%22=%22%22%28log%28%2812%29%29%2Flog%28%283%29%29%29%5E2

Approximately:

x%22%22=%22%225.11600843

Edwin