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Popular >

simplify log_{6}(27)

Solution

simplify

lo g_{6} (27)

Solution

3 lo g_{6} (3)

+1

Decimal Notation

1.83944 \dots

Solution steps

lo g_{6} (27)

Factor the number:

27 = 3^{3}

= lo g_{6} (3^{3})

Apply log rule:

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

lo g_{6} (3^{3}) = 3 lo g_{6} (3)

= 3 lo g_{6} (3)

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Frequently Asked Questions (FAQ)

What is log_{6}(27) ?
The solution to log_{6}(27) is 3log_{6}(3)