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Popular >

simplify log_{3}(4/x)

Solution

simplify

lo g_{3} (\frac{4}{x})

Solution

2 lo g_{3} (2) - lo g_{3} (x)

Solution steps

lo g_{3} (\frac{4}{x})

Apply log rule:

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

lo g_{3} (\frac{4}{x}) = lo g_{3} (4) - lo g_{3} (x)

= lo g_{3} (4) - lo g_{3} (x)

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

= 2 lo g_{3} (2) - lo g_{3} (x)

Popular Examples

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Frequently Asked Questions (FAQ)

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