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0.9^x=0.01
We move all terms to the left:
0.9^x-(0.01)=0
We add all the numbers together, and all the variables
0.9^x-0.01=0
We move all terms containing x to the left, all other terms to the right
0.9^x=0.01
x=0.01/1
x=0.01
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