What is join 3ln(sqrt(y)-sqrt(x)) ?

The solution to join 3ln(sqrt(y)-sqrt(x)) is ln((sqrt(y)-sqrt(x))^3)

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join 3ln(sqrt(y)-sqrt(x))

join

3 ln (y - x)

ln ((y - x)^{3})

Solution steps

3 ln (y - x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (y - x) = ln ((y - x)^{3})

= ln ((y - x)^{3})

- \frac{3}{8} \cdot lo g_{2} (\frac{3}{8}) - \frac{5}{8} \cdot lo g_{2} (\frac{5}{8})

lo g_{7} (12 x) - lo g_{7} (7 x^{3})

\frac{1}{2} lo g_{6} (x) + lo g_{6} (y)

lo g_{5} (8) + lo g_{5} (3)

ln (6 a) - 4 ln (b) - ln (2 a)

What is join 3ln(sqrt(y)-sqrt(x)) ?
The solution to join 3ln(sqrt(y)-sqrt(x)) is ln((sqrt(y)-sqrt(x))^3)