1/4*8^x+1=2^3x*2

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Solution for 1/4*8^x+1=2^3x*2 equation:



1/4*8^x+1=2^3x*2
We move all terms to the left:
1/4*8^x+1-(2^3x*2)=0
Domain of the equation: 4*8^x!=0
x!=0/1
x!=0
x∈R
We get rid of parentheses
1/4*8^x-2^3x*2+1=0
We multiply all the terms by the denominator
-(2^3x*2)*4*8^x+1*4*8^x+1=0
Wy multiply elements
-(2^3x*2)*4*8^x+32x*8+1=0
Wy multiply elements
-(2^3x*2)*4*8^x+256x+1=0
We add all the numbers together, and all the variables
256x-(2^3x*2)*4*8^x+1=0
We move all terms containing x to the left, all other terms to the right
256x-(2^3x*2)*4*8^x=-1

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