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Ok, first you're going to have to factor the function inside the log:
2x^2 +8x+8, you can use the quadratic formula and you'll get these factors:
(2x+4)(x+2)
Now you have log2 ((2x+4)(x+2))
When you have multiplication inside logs that is equal to sdding logs
log2(2x+4) + log2 (x+2)
Now from the first part you can factor out a 2
2(x+2)
log (2) + log (x+2) + log (x+2)
And that's as far as it can expand
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