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Popular >

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

Solution

simplify

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

Solution

ln (x - 1)

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

= ln (x - 1)

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Frequently Asked Questions (FAQ)

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