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Popular >

simplify ln(3x^2-9x)+ln(1/(3x))

Solution

simplify

ln (3 x^{2} - 9 x) + ln (\frac{1}{3 x})

Solution

ln (x - 3)

Solution steps

ln (3 x^{2} - 9 x) + ln (\frac{1}{3 x})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (3 x^{2} - 9 x) + ln (\frac{1}{3 x}) = ln (\frac{1}{3 x} (3 x^{2} - 9 x))

= ln (\frac{1}{3 x} (3 x^{2} - 9 x))

Simplify

(3 x^{2} - 9 x) \frac{1}{3 x} : x - 3

= ln (x - 3)

Popular Examples

(x-2)(x+3)=(x+5)^2

(x - 2) (x + 3) = (x + 5)^{2}

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\frac{- x}{y}

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64 y^{3} - 27

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\frac{11}{9 - 6}

6 u^{2} - 18 u = 0

Frequently Asked Questions (FAQ)

What is ln(3x^2-9x)+ln(1/(3x)) ?
The solution to ln(3x^2-9x)+ln(1/(3x)) is ln(x-3)