What is 5ln((2-3x)/(7+2x))-\sqrt[5]{x}-1 ?

The solution to 5ln((2-3x)/(7+2x))-\sqrt[5]{x}-1 is 5(ln(2-3x)-ln(7+2x))-\sqrt[5]{x}-1

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simplify 5ln((2-3x)/(7+2x))-\sqrt[5]{x}-1

simplify

Solution steps

Apply log rule:

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

ln (\frac{2 - 3 x}{7 + 2 x}) = ln (2 - 3 x) - ln (7 + 2 x)

lo g_{2} (x) + 2 + lo g_{2} (x^{3}) - 4

- 5 lo g_{6} (5 x)

lo g_{b} (\frac{x ^{2} \cdot y}{z ^{4}})

lo g_{10} (3) - lo g_{10} (6) - lo g_{10} (5)

9 ln (x) - \frac{1}{3} ln (y)

What is 5ln((2-3x)/(7+2x))-\sqrt[5]{x}-1 ?
The solution to 5ln((2-3x)/(7+2x))-\sqrt[5]{x}-1 is 5(ln(2-3x)-ln(7+2x))-\sqrt[5]{x}-1