SOLUTION: Please help me solve this equation 16^2k= 4^k-1 and (x^1/4-6 )(x^1/2-3) = 0

Question 625447: Please help me solve this equation
16^2k= 4^k-1

and (x^1/4-6 )(x^1/2-3) = 0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I assume that you meant .
Since , we can write it as

Using the properties of powers, we can transform that equation into a friendlier one.
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Since cannot be zero, we can divide by both sides of the equal sign to get

Now we keep using properties of powers
--> --> --> -->

I understand that your other equation is or
(I cannot get those nasty fractional exponents to show themselves nicely).
For that equation , I would just start by doing a change of variable, to get rid of those nasty fractional exponents.
I can define <--> and then
I re-write the equation as

I cannot use the solution because
The other two y solutions give me good x solutions
--> --> and
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