0.2589=1-(0.05)^1/n

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Solution for 0.2589=1-(0.05)^1/n equation: 



0.2589=1-(0.05)^1/n

We move all terms to the left:

0.2589-(1-(0.05)^1/n)=0



Domain of the equation: n)!=0

n!=0/1

n!=0

n∈R



We multiply all the terms by the denominator


-(1-(0.05)^1+(0.2589)*n)=0



We calculate terms in parentheses: -(1-(0.05)^1+(0.2589)*n), so:

1-(0.05)^1+(0.2589)*n

determiningTheFunctionDomain
(0.2589)*n+1-(0.05)^1

We add all the numbers together, and all the variables

(0.2589)*n+0.95

We multiply parentheses

0.2589n+0.95

Back to the equation:

-(0.2589n+0.95)



We get rid of parentheses

-0.2589n-0.95=0

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

-0.2589n=0.95

n=0.95/-0.2589

n=-3+0.1733/0.2589

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