How do you solve #4^x + 6(4^-x) = 5#?
Don't be too concerned about what you should do to solve the problem.
Focus on what you could do and on the question, "Would that help?"
Well, perhaps I could write 6 as 4 to some power. But i can add 4 to a powe plus 4 to another power, so that doesn't seem helpful.
Think of something else we could do.
Negative exponents can be a nit trick, so let's rewrite:
I've had good luck in other problems with clearing fraction, so let's do that.
Does that help? It's not really clear yet, but I do see a square, and a constant and a constant times the thing that is squared. That sound like a quadratic to me.
If I'd rather have