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Popular >

simplify log_{n}(4/n)

Solution

simplify

lo g_{n} (\frac{4}{n})

Solution

2 lo g_{n} (2) - 1

Solution steps

lo g_{n} (\frac{4}{n})

Apply log rule:

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

lo g_{n} (\frac{4}{n}) = lo g_{n} (4) - lo g_{n} (n)

= lo g_{n} (4) - lo g_{n} (n)

lo g_{n} (4) = 2 lo g_{n} (2)

lo g_{n} (n) = 1

= 2 lo g_{n} (2) - 1

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Frequently Asked Questions (FAQ)

What is log_{n}(4/n) ?
The solution to log_{n}(4/n) is 2log_{n}(2)-1