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

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 add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

-128x^3+(x*4+1)^x=0

We do not support expression: x^3