What is simplify-4log_{3}(3)-log_{4}(1/6) ?

The solution to simplify-4log_{3}(3)-log_{4}(1/6) is -4+log_{4}(6)

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simplify-4log_{3}(3)-log_{4}(1/6)

simplify

- 4 lo g_{3} (3) - lo g_{4} (\frac{1}{6})

- 4 + lo g_{4} (6)

Decimal Notation

- 2.70751 \dots

Solution steps

- 4 lo g_{3} (3) - lo g_{4} (\frac{1}{6})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{4} (\frac{1}{6}) = lo g_{4} (1) - lo g_{4} (6)

= - 4 lo g_{3} (3) - (lo g_{4} (1) - lo g_{4} (6))

4 lo g_{3} (3) = 4

- (lo g_{4} (1) - lo g_{4} (6)) = lo g_{4} (6)

= - 4 + lo g_{4} (6)

2 + 4 lo g_{3} (x) - \frac{1}{3} lo g_{3} (y)

lo g_{3} (\frac{9}{x + 6})

- lo g_{10} (2.5 \cdot 1 0^{- 2})

lo g_{2} (x) + lo g_{2} (x^{2})

ln (\frac{2}{2 + 1})

What is simplify-4log_{3}(3)-log_{4}(1/6) ?
The solution to simplify-4log_{3}(3)-log_{4}(1/6) is -4+log_{4}(6)