2/5^w=40

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Solution for 2/5^w=40 equation:



2/5^w=40
We move all terms to the left:
2/5^w-(40)=0
Domain of the equation: 5^w!=0
w!=0/1
w!=0
w∈R
We multiply all the terms by the denominator
-40*5^w+2=0
Wy multiply elements
-200w+2=0
We move all terms containing w to the left, all other terms to the right
-200w=-2
w=-2/-200
w=1/100

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