SOLUTION: Whats the result of 3^1-2x = 4^x

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Question 1039000: Whats the result of
3^1-2x = 4^x

Found 2 solutions by ikleyn, addingup:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!



Figure. Plots y = (red) and y = (green)

 = .

Take logarithms of both sides (natural logarithms). You will get

(1-2x)*ln(3) = x*ln(4).

This equation is linear on x. From this point please complete the solution on your own.


Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
3^(1-2x) = 4^x
x = (log(3)-2i*pi*n)/(2log(2)+2log(3))
Or did you mean:
(3^1)-2x = 4^x
x = 1/2

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