(1/4^x)=256

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Solution for (1/4^x)=256 equation: 



(1/4^x)=256

We move all terms to the left:

(1/4^x)-(256)=0



Domain of the equation: 4^x)!=0

x!=0/1

x!=0

x∈R



We get rid of parentheses

1/4^x-256=0

We multiply all the terms by the denominator


-256*4^x+1=0

Wy multiply elements

-1024x+1=0

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

-1024x=-1

x=-1/-1024

x=1/1024

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