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Popular >

simplify log_{3}((3/x)^3)

Solution

simplify

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

Solution

3 - 3 lo g_{3} (x)

Solution steps

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{3} ((\frac{3}{x})^{3}) = 3 lo g_{3} (\frac{3}{x})

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

Simplify

lo g_{3} (\frac{3}{x}) : 1 - lo g_{3} (x)

= 3 (1 - lo g_{3} (x))

Expand

3 (1 - lo g_{3} (x)) : 3 - 3 lo g_{3} (x)

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

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Frequently Asked Questions (FAQ)

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