Rewrite the following expression as a single logarithm:

The answer is

2log(x + 3) - 3log(x - 7) + 5log(x - 2) - log(x²)

a*log(x) = log(xᵃ)
2log(x + 3) = log((x + 3)²)
3log(x - 7) = log((x - 7)³)
5log(x - 2) = log((x - 2)⁵)

2log(x + 3) - 3log(x - 7) + 5log(x - 2) - log(x²)
= log((x + 3)²) - log((x - 7)³) + log((x - 2)⁵) - log(x²)

log(a) - log(b) = log(a/b)
log(a) + log(b) = log(ab)
log((x + 3)²) - log((x - 7)³) + log((x - 2)⁵) - log(x²) = 

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