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3 years ago

9

Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all var

iable expressions represent positive real numbers.
$\frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5)$
Thanks in advance.

2 answers:

Sveta_85 [38]3 years ago

4 0

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

Step-by-step explanation:

Nat2105 [25]3 years ago

3 0

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)

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