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Popular >

simplify log_{6}(42)

Solution

simplify

lo g_{6} (42)

Solution

1 + lo g_{6} (7)

+1

Decimal Notation

2.08603 \dots

Solution steps

lo g_{6} (42)

Factor the number:

42 = 6 \cdot 7

= lo g_{6} (6 \cdot 7)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{6} (6 \cdot 7) = lo g_{6} (6) + lo g_{6} (7)

= lo g_{6} (6) + lo g_{6} (7)

Apply log rule:

lo g_{a} (a) = 1

lo g_{6} (6) = 1

= 1 + lo g_{6} (7)

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Frequently Asked Questions (FAQ)

What is log_{6}(42) ?
The solution to log_{6}(42) is 1+log_{6}(7)