What is 2xln(y)-3yln(x)+ln(x/y) ?

The solution to 2xln(y)-3yln(x)+ln(x/y) is 2xln(y)-3yln(x)++ln(x)-ln(y)

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simplify 2xln(y)-3yln(x)+ln(x/y)

simplify

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

2 x ln (y) - 3 y ln (x) + + ln (x) - ln (y)

Solution steps

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

Apply log rule:

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

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

= 2 x ln (y) - 3 y ln (x) + + ln (x) - ln (y)

ln (x^{2} - 2 x - 24) - ln (x + 4)

lo g_{10} (x) - 2 lo g_{10} (y) + lo g_{10} (z)

ln (\frac{40}{80})

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

- lo g_{10} (6.4 \cdot 1 0^{- 10})

What is 2xln(y)-3yln(x)+ln(x/y) ?
The solution to 2xln(y)-3yln(x)+ln(x/y) is 2xln(y)-3yln(x)++ln(x)-ln(y)