book Maths Puzzle Numerical Ability

Tom is 8. His mom is 31. How long before she is twice his age?

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How do i approximat the best fitting line by sketching a scatter plot, sketching the line, locating two points on the line, or by finding the equation of a line? inverse of g(x)=3^x+1
i get to the point of were i have the equation

x-1=3^y but i dont know how to get the y isolated on one side