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Simora [160]
3 years ago
8

What is the value of log625^5? A: -4 B:-1/4 C:1/4 D:4

Mathematics
2 answers:
shtirl [24]3 years ago
3 0

Answer:

The value of log_{625}(5) is \frac{1}{4}

Step-by-step explanation:

We want to evaluate log_{625}(5).


The base of this logarithm is 625 and the number is 5.


We need to express the number 5 as the base 625 raised to a certain index.


This implies that, log_{625}(5)=log_{625}(625^{\frac{1}{4}})


Recall now that,

log_a(m^n)=nlog_a(m).


We apply this property to obtain,

log_{625}(5)=\frac{1}{4}log_{625}(625)


Recall again that,


log_a(a)=1,a\ne0\:or\:1.This implies that,


log_{625}(5)=\frac{1}{4}(1)


log_{625}(5)=\frac{1}{4}


The correct answer is C.



KengaRu [80]3 years ago
3 0

Answer:

The Answer is C

Step-by-step explanation:

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