SOLUTION: Solve the equation 2^X=3^4-x. Write your solution exactly in terms of logarithms. Do not give a decimal approximation.

Question 356163: Solve the equation 2^X=3^4-x. Write your solution exactly in terms of logarithms. Do not give a decimal approximation.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Solve the equation 2^X=3^4-x. Write your solution exactly in terms of logarithms. Do not give a decimal approximation.

Take the log of both sides:

Move the exponents in front of the logs:

Distribute on the right

Get the terms that contain x on the left and other one on the right:

Factor out x on the left:

Divide both sides by

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