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sergiy2304 [10]
3 years ago
5

What is the value of log 7 343?–3 -1/3 1/3 3

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer: 3

Step-by-step explanation:

Given :

Log_{7} 343

We need to write 343 in index form of 7.

343 is the same as 7^{3} , replacing 343 with 7^{3} , we have

Log_{7} 7^{3}

Recall one on the law of Logarithm :

Log_{a}b^{c} can be written as c Log_{a}b

So, Log_{7} 7^{3} can be written as ;

3Log_{7} 7

Also from the laws of Logarithms , Log_{a} a = 1

so , Log_{7}[/tex] 7 = 1

The solution then becomes

3 x 1 = 3

Therefore :

Log_{7} 343 = 3

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