What is ln((sqrt(4x-2))/(3x-1)) ?

The solution to ln((sqrt(4x-2))/(3x-1)) is ln(sqrt(4x-2))-ln(3x-1)

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simplify ln((sqrt(4x-2))/(3x-1))

simplify

ln (\frac{4 x - 2}{3 x - 1})

ln (4 x - 2) - ln (3 x - 1)

Solution steps

ln (\frac{4 x - 2}{3 x - 1})

Apply log rule:

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

ln (\frac{4 x - 2}{3 x - 1}) = ln (4 x - 2) - ln (3 x - 1)

= ln (4 x - 2) - ln (3 x - 1)

ln (\frac{x + a}{x ^{2} + a ^{2}})

ln (\frac{1}{2} (x^{2} - 6 x + 5))

- ln ∣ 6.1 - 3 ∣ + 2 ln ∣ 6.1 - 2 ∣ + c

lo g_{2} (a) + \frac{1}{2} lo g_{2} (b) - 3 lo g_{2} (c)

- ln (4) + ln (5)

What is ln((sqrt(4x-2))/(3x-1)) ?
The solution to ln((sqrt(4x-2))/(3x-1)) is ln(sqrt(4x-2))-ln(3x-1)