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Popular >

simplify ln((dx)/(x^3))

Solution

simplify

ln (\frac{d x}{x ^{3}})

Solution

ln (d x) - 3 ln (x)

Solution steps

ln (\frac{d x}{x ^{3}})

Apply log rule:

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

ln (\frac{d x}{x ^{3}}) = ln (d x) - ln (x^{3})

= ln (d x) - ln (x^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{3}) = 3 ln (x)

= ln (d x) - 3 ln (x)

Popular Examples

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ln (1358) - ln (298)

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ln (2) - ln (4) + ln (3)

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ln (t^{5}) + ln (y^{9})

simplify 25.8*ln(x/(10))simplify

25.8 \cdot ln (\frac{x}{10})

Frequently Asked Questions (FAQ)

What is ln((dx)/(x^3)) ?
The solution to ln((dx)/(x^3)) is ln(dx)-3ln(x)