book Maths Puzzle Numerical Ability

is 3x+y^2=7 a linear equation?
yes or no? and why?
thanks a lot for your help!

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book Other Question

Expand using properties of logarithms:
log (xy^2)
------
(Y)
in my algebra 2 class, we got an extra credit question: 1 over (the cubed root of 2, minus 1). we need to simplify it and/or solve it. please help