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.
$\frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5)$
Thanks in advance. ​

Answer 1

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

Step-by-step explanation:

Answer 2

Answer:

• 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)