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Popular >

simplify 7log_{7}(8)

Solution

simplify

7 lo g_{7} (8)

Solution

21 lo g_{7} (2)

+1

Decimal Notation

7.48035 \dots

Solution steps

7 lo g_{7} (8)

Factor the number:

8 = 2^{3}

= 7 lo g_{7} (2^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{7} (2^{3}) = 3 lo g_{7} (2)

= 7 \cdot 3 lo g_{7} (2)

Multiply the numbers:

7 \cdot 3 = 21

= 21 lo g_{7} (2)

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Frequently Asked Questions (FAQ)

What is 7log_{7}(8) ?
The solution to 7log_{7}(8) is 21log_{7}(2)