1/4^x-4=3*2^-X

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Solution for 1/4^x-4=3*2^-X equation: 



1/4^x-4=3*2^-x

We move all terms to the left:

1/4^x-4-(3*2^-x)=0



Domain of the equation: 4^x!=0

x!=0/1

x!=0

x∈R



We get rid of parentheses

1/4^x+x-4-3*2^=0

We multiply all the terms by the denominator


x*4^x-4*4^x-(3*2^)*4^x+1=0

Wy multiply elements

4x^2-16x-(3*2^)*4^x+1=0

We move all terms containing x to the left, all other terms to the right

4x^2-16x-(3*2^)*4^x=-1

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