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

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

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

simplify

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

ln (4 x - 3) - ln (x)

Solution steps

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

Apply log rule:

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

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

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

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

ln (8) - 2 ln (4) + ln (15)

ln (27) - ln (9)

\frac{3}{2} lo g_{10} (5)

ln (3 x) - ln (x - 4)

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