log₃₀3 + log₃₀2 + (1/2) log₃₀25 =?

Question: log₃₀3 + log₃₀2 + (1/2) log₃₀25 =?

Solution:
log₃₀3 + log₃₀2 + (1/2) log₃₀25
= log₃₀3 + log₃₀2 + log₃₀25^1/2
= log₃₀3 + log₃₀2 + log₃₀5
= log₃₀(3 × 2 × 5)
= log₃₀30
= 1