Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all variable expressions represent positive real numbers.
Thanks in advance.

log₅(p)¹/³(p+5)

Step-by-step explanation:

1/3log₅(p) + log₅(p²-25) - log₅(p-5) = 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =1/3log₅(p) + log₅(p+5) + log₅(p-5)  - log₅(p-5) =1/3log₅p + log₅(p+5) =log₅(p)¹/³(p+5)

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.