5=2.5*1.051^x

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Solution for 5=2.5*1.051^x equation: 



5=2.5*1.051^x

We move all terms to the left:

5-(2.5*1.051^x)=0

We get rid of parentheses

-2.5*1.051^x+5=0

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

-2.5*1.051^x=-5

x=-5/1

x=-5

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