What is ln(((2x-5)^3)/(x^2\sqrt[4]{x^2+1)}) ?

The solution to ln(((2x-5)^3)/(x^2\sqrt[4]{x^2+1)}) is 3ln(2x-5)-2ln(x)-ln(\sqrt[4]{x^2+1})

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simplify ln(((2x-5)^3)/(x^2\sqrt[4]{x^2+1)})

simplify

Solution steps

Apply log rule:

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

Apply log rule:

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{2}) = 2 ln (x)

ln (\frac{13 x ^{8}}{y ^{5}})

lo g_{3} (\frac{1}{2}) + (\frac{1}{2})^{2}

- (\frac{3}{4}) lo g_{2} (\frac{3}{4}) - ((\frac{1}{4}) lo g_{2} (\frac{1}{4}))

ln ∣ 3 x + x ∣ - ln (2 - x)

- \frac{5}{2} ln ∣ u + 5 ∣ + \frac{5}{2} ln ∣ u - 5 ∣

What is ln(((2x-5)^3)/(x^2\sqrt[4]{x^2+1)}) ?
The solution to ln(((2x-5)^3)/(x^2\sqrt[4]{x^2+1)}) is 3ln(2x-5)-2ln(x)-ln(\sqrt[4]{x^2+1})