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Popular >

simplify ln((1-3x)/(x^2))

Solution

simplify

ln (\frac{1 - 3 x}{x ^{2}})

Solution

ln (1 - 3 x) - 2 ln (x)

Solution steps

ln (\frac{1 - 3 x}{x ^{2}})

Apply log rule:

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

ln (\frac{1 - 3 x}{x ^{2}}) = ln (1 - 3 x) - ln (x^{2})

= ln (- 3 x + 1) - ln (x^{2})

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= ln (1 - 3 x) - 2 ln (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln((1-3x)/(x^2)) ?
The solution to ln((1-3x)/(x^2)) is ln(1-3x)-2ln(x)