Question

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.


`(1)/(3) log_(5)(p) + log_(5)(p^(2) - 25 ) - log_(5)(p - 5)`
Thanks in advance. ​

Answer 1

Answer: The answer is log₅(p)¹/³(p+5).

Explanation:

Answer 2

• log₅(p)¹/³(p+5)

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)