What is 2log5 (5x^3) + (1/3) log5 ((x^2) + 6) written as a single logarithm?

Assuming 5 is the base. I'm going to leave that out for now.

2log (5x^3) + (1/3) log (x^2+6)

power rule

log (5^2 x^3*2) + log ((x^2 + 6) ^ (1/3))

log (25x^6) + log ((x^2 + 6) ^ (1/3))

quotient rule

log (25x^6 / (x^2 + 6) ^ (1/3))