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2 answers:
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Answer: 3
Step-by-step explanation:
Given :
343
We need to write 343 in index form of 7.
343 is the same as , replacing 343 with
, we have
Recall one on the law of Logarithm :
can be written as c
b
So,
can be written as ;
3 7
Also from the laws of Logarithms , a = 1
so , Log_{7}[/tex] 7 = 1
The solution then becomes
3 x 1 = 3
Therefore :
343 = 3