16.0/0.8^x=1.0/0.2^x

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Solution for 16.0/0.8^x=1.0/0.2^x equation: 



16.0/0.8^x=1.0/0.2^x

We move all terms to the left:

16.0/0.8^x-(1.0/0.2^x)=0



Domain of the equation: 0.8^x!=0

x!=0/1

x!=0

x∈R





Domain of the equation: 0.2^x)!=0

x!=0/1

x!=0

x∈R



We get rid of parentheses

16.0/0.8^x-1.0/0.2^x=0

We calculate fractions


(16.0*0.2^x)/(0.8^x*0.2^x)+(-1.0*0.8^x)/(0.8^x*0.2^x)=0

We multiply all the terms by the denominator


(16.0*0.2^x)+(-1.0*0.8^x)=0

We get rid of parentheses

16.0*0.2^x-1.0*0.8^x=0

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