What is 3-3log_{6}(2)-log_{6}(9) ?

The solution to 3-3log_{6}(2)-log_{6}(9) is 3-log_{6}(72)

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simplify 3-3log_{6}(2)-log_{6}(9)

simplify

3 - 3 lo g_{6} (2) - lo g_{6} (9)

3 - lo g_{6} (72)

Decimal Notation

0.61314 \dots

Solution steps

3 - 3 lo g_{6} (2) - lo g_{6} (9)

Apply log rule:

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

- 3 lo g_{6} (2) = - lo g_{6} (2^{3})

= 3 - lo g_{6} (2^{3}) - lo g_{6} (9)

- lo g_{6} (2^{3}) - lo g_{6} (9) = - lo g_{6} (72)

= 3 - lo g_{6} (72)

ln (x^{8} 5 - x)

lo g_{10} (\frac{10 10 x}{0.1})

ln (8 x)

lo g_{10} (25 x)

What is 3-3log_{6}(2)-log_{6}(9) ?
The solution to 3-3log_{6}(2)-log_{6}(9) is 3-log_{6}(72)