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1/243=9^x-1
We move all terms to the left:
1/243-(9^x-1)=0
We get rid of parentheses
-9^x+1+1/243=0
We multiply all the terms by the denominator
-9^x*243+1+1*243=0
We add all the numbers together, and all the variables
-9^x*243+244=0
Wy multiply elements
-2187x+244=0
We move all terms containing x to the left, all other terms to the right
-2187x=-244
x=-244/-2187
x=244/2187
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