Solve for x: 3e^(-x) = 4^(3x-1)

Thanks

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- Dec 7th 2010, 09:57 PMRaeUsing natural logs to solve for x
Solve for x: 3e^(-x) = 4^(3x-1)

Thanks - Dec 7th 2010, 10:18 PMharish21

take log on both sides:

now use on the RHS. - Dec 8th 2010, 03:31 AMHallsofIvy
Or, more directly, take the logarithm of both sides of the original equation:

Now you have -x+ ln(3)= 3ln(4)x- ln(4) which is a linear equation.