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(0.5)^n=8(0.5)^8=
We move all terms to the left:
(0.5)^n-(8(0.5)^8)=0
We add all the numbers together, and all the variables
(0.5)^n-0.03125=0
We move all terms containing n to the left, all other terms to the right
(0.5)^n=0.03125
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