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What is the value of log, base, 7, 343log 7​ 343?

Question

What is the value of log, base, 7, 343log 7​ 343?

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Solution

The value of log base 7 of 343 is 3. Here's why:

The logarithm base 7 of 343 is asking the question: "7 raised to what power equals 343?"

Since 7^3 = 343, the answer is 3.

So, log base 7 of 343 = 3.

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