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polet [3.4K]
3 years ago
10

Simplify the following expression. log(9x^5) + 5 log (1/x)

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

log9

Step-by-step explanation:

hello :

note :  a>0 and b>0

1) log(ab) = loga+logb

2) loga^n = nloga.....n in N

log(9x^5) + 5 log (1/x) = log(9x^5) +  log (1/x)^5 = log((9x^5) (1/x)^5)

                                 = log(9x^5)/(x^5)) = log9  because : (1/x)^5 = 1/x^5

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