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1.025^x=5/2
We move all terms to the left:
1.025^x-(5/2)=0
We add all the numbers together, and all the variables
1.025^x-(+5/2)=0
We get rid of parentheses
1.025^x-5/2=0
We multiply all the terms by the denominator
(1.025^x)*2-5=0
We multiply parentheses
2x-5=0
We move all terms containing x to the left, all other terms to the right
2x=5
x=5/2
x=2+1/2
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