0.1^x=100^-2

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Solution for 0.1^x=100^-2 equation: 



0.1^x=100^-2

We move all terms to the left:

0.1^x-(100^-2)=0

We add all the numbers together, and all the variables

0.1^x-0.0001=0

We move all terms containing x to the left, all other terms to the right

0.1^x=0.0001

x=0.0001/1

x=0.0001

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