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Popular >

simplify 3log_{7}(343)

Solution

simplify

3 lo g_{7} (343)

Solution

9

Solution steps

3 lo g_{7} (343)

Factor the number:

343 = 7^{3}

= 3 lo g_{7} (7^{3})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{7} (7^{3}) = 3

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

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Frequently Asked Questions (FAQ)

What is 3log_{7}(343) ?
The solution to 3log_{7}(343) is 9