What is simplify-(x(ln(x)-ln(y)-1))/y ?

The solution to simplify-(x(ln(x)-ln(y)-1))/y is -(x(ln(x/y)-1))/y

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simplify-(x(ln(x)-ln(y)-1))/y

simplify

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

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

Solution steps

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

Apply log rule:

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

ln (x) - ln (y) = ln (\frac{x}{y})

= - \frac{x ( ln ( \frac{x}{y} ) - 1 )}{y}

2 lo g_{x} (8) + 5 lo g_{x} (z - 4)

lo g_{e} (\frac{16}{21})

ln (\frac{e ^{5}}{7})

ln (65000) - ln (61000)

ln (336 \cdot 1 0^{4})

What is simplify-(x(ln(x)-ln(y)-1))/y ?
The solution to simplify-(x(ln(x)-ln(y)-1))/y is -(x(ln(x/y)-1))/y