4^5=4^20/4^x

Solution for 4^5=4^20/4^x equation:

4^5=4^20/4^x

We move all terms to the left:

4^5-(4^20/4^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

-(4^20/4^x)+1024=0

We get rid of parentheses

-4^20/4^x+1024=0

We multiply all the terms by the denominator


1024*4^x-4^20=0

We add all the numbers together, and all the variables

1024*4^x-1099511627776=0

Wy multiply elements

4096x-1099511627776=0

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

4096x=1099511627776

x=1099511627776/4096

x=268435456