The value of expression \log_{8}64

Cabiolab

Cabiolab

Answered question

2021-09-13

The value of expression log864

Answer & Explanation

avortarF

avortarF

Skilled2021-09-14Added 113 answers

Formula:
The property of logarithm loganam=mn
Calculation:
To find the value of the given expression we need to use the rules of logarithmic function. In this problem we need to use the rule loganam=mn
Using the below rule.
loganam=mn
log864=log8182
Here, n=1 and m=2
By applying the above rule,
loganam=mn
log864=log8182
Here, n=1 and m=2
loganam=log864
log864=log8182
mn=21
Thus, the value of mn=21.
Conclusion: The value of the given expression log864 is 2.

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