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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (3 x) + ln (2 y)

\frac{1}{3} \cdot ln (\frac{3 + 5}{2})

∣ 4 ln (2) - 1 ∣ + ∣ 4 ln (3) - 3 - 4 ln (2) ∣

\frac{2 ln ( \frac{55}{9} )}{ln ( 2 )}

lo g_{10} (\frac{x z ^{2}}{y})

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