C2 edexcel log question

$\displaystyle \log_2 \frac{y^2}{y+6} = 3 \implies \frac{y^2}{y+6}=2^3$

If this confuses you then what's happening is similar to e.g this:

$\displaystyle \log_2 x = 5 \implies x=2^5$

(5 is an arbitrary number that I picked out of the air to show you an example)

Do you understand this? If not, you may need to revise some basic logarithms work.

i did it and i got y=12

y=12