What is simplify-160ln(x)-160ln(y) ?

The solution to simplify-160ln(x)-160ln(y) is -ln(x^{160}y^{160})

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simplify-160ln(x)-160ln(y)

simplify

- 160 ln (x) - 160 ln (y)

- ln (x^{160} y^{160})

Solution steps

- 160 ln (x) - 160 ln (y)

Apply log rule:

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

160 ln (x) = ln (x^{160})

= - ln (x^{160}) - 160 ln (y)

Apply log rule:

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

160 ln (y) = ln (y^{160})

= - ln (x^{160}) - ln (y^{160})

Rewrite

- ln (x^{160}) - ln (y^{160})

- (ln (x^{160}) + ln (y^{160}))

= - (ln (x^{160}) + ln (y^{160}))

Apply log rule:

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

ln (x^{160}) + ln (y^{160}) = ln (x^{160} y^{160})

= - ln (x^{160} y^{160})

23 x + ln (23 x)

ln (\frac{31650 - 20000}{120000 - 0})

- ln (\frac{- t}{t + 1})

- 20.96 + 1.045 ln (e) + 3.33 ln (g) - 0.165 ln (g^{2})

What is simplify-160ln(x)-160ln(y) ?
The solution to simplify-160ln(x)-160ln(y) is -ln(x^{160}y^{160})