What is simplify-ln(x^2)-ln(sin(y)) ?

The solution to simplify-ln(x^2)-ln(sin(y)) is -ln(x^2sin(y))

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simplify-ln(x^2)-ln(sin(y))

simplify

- ln (x^{2}) - ln (sin (y))

- ln (x^{2} sin (y))

Solution steps

- ln (x^{2}) - ln (sin (y))

Rewrite

- ln (x^{2}) - ln (sin (y))

- (ln (x^{2}) + ln (sin (y)))

= - (ln (x^{2}) + ln (sin (y)))

Apply log rule:

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

ln (x^{2}) + ln (sin (y)) = ln (x^{2} sin (y))

= - ln (x^{2} sin (y))

ln (y) + ln (x + 1) - ln (k)

ln (3 x) + 1

2 ln (x - 1) - 2 ln (x + 1)

lo g_{10} (7 x^{3})

ln (\frac{e ^{- 3 y}}{3})

What is simplify-ln(x^2)-ln(sin(y)) ?
The solution to simplify-ln(x^2)-ln(sin(y)) is -ln(x^2sin(y))