2^-x=0.4

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Solution for 2^-x=0.4 equation: 



2^-x=0.4

We move all terms to the left:

2^-x-(0.4)=0

We add all the numbers together, and all the variables

-1x+0.7578582832552=0

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

-x=-0.7578582832552

x=-0.7578582832552/-1

x=0.7578582832552/1

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