SOLUTION: I need help with this problem: Find the solution using common logarithms, and two-decimal-place approximation of the solution. 4^x - 3(4^-x) = 8 Thank you!

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Question 880340: I need help with this problem:
Find the solution using common logarithms, and two-decimal-place approximation of the solution.
4^x - 3(4^-x) = 8
Thank you!

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The equation can take a quadratic form.
Let , and solve this for u, first.

Skipping the substitution and the show of steps,....
,...

-----Can you continue and finish from here?

Taking logs of both sides and solve for x, solutions before making the approximations:

OR

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