What is expand log_{3}((16)/z) ?

The solution to expand log_{3}((16)/z) is 4log_{3}(2)-log_{3}(z)

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expand log_{3}((16)/z)

expand

lo g_{3} (\frac{16}{z})

4 lo g_{3} (2) - lo g_{3} (z)

Solution steps

lo g_{3} (\frac{16}{z})

Apply log rule:

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

lo g_{3} (\frac{16}{z}) = lo g_{3} (16) - lo g_{3} (z)

= lo g_{3} (16) - lo g_{3} (z)

lo g_{3} (16) = 4 lo g_{3} (2)

= 4 lo g_{3} (2) - lo g_{3} (z)

ln (200 \cdot b^{x})

lo g_{10} (10000 x^{4} y^{6})

lo g_{x} (\frac{x}{64})

What is expand log_{3}((16)/z) ?
The solution to expand log_{3}((16)/z) is 4log_{3}(2)-log_{3}(z)