0.75^n=0.5

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Solution for 0.75^n=0.5 equation: 



0.75^n=0.5

We move all terms to the left:

0.75^n-(0.5)=0

We add all the numbers together, and all the variables

0.75^n-0.5=0

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

0.75^n=0.5

n=0.5/1

n=0.5

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