256=4^5/4^x

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Solution for 256=4^5/4^x equation: 



256=4^5/4^x

We move all terms to the left:

256-(4^5/4^x)=0



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

x!=0/1

x!=0

x∈R



We get rid of parentheses

-4^5/4^x+256=0

We multiply all the terms by the denominator


256*4^x-4^5=0

We add all the numbers together, and all the variables

256*4^x-1024=0

Wy multiply elements

1024x-1024=0

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

1024x=1024

x=1024/1024

x=1

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