0.4^x=0.8

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Solution for 0.4^x=0.8 equation: 



0.4^x=0.8

We move all terms to the left:

0.4^x-(0.8)=0

We add all the numbers together, and all the variables

0.4^x-0.8=0

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

0.4^x=0.8

x=0.8/1

x=0.8

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