3^k-7=1/81

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Solution for 3^k-7=1/81 equation: 



3^k-7=1/81

We move all terms to the left:

3^k-7-(1/81)=0

We add all the numbers together, and all the variables

3^k-7-(+1/81)=0

We get rid of parentheses

3^k-7-1/81=0

We multiply all the terms by the denominator


3^k*81-1-7*81=0

We add all the numbers together, and all the variables

3^k*81-568=0

Wy multiply elements

243k-568=0

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

243k=568

k=568/243

k=2+82/243

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