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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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)

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Frequently Asked Questions (FAQ)

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