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Popular >

simplify-5ln(x)-5ln(y)

Solution

simplify

- 5 ln (x) - 5 ln (y)

Solution

- ln (x^{5} y^{5})

Solution steps

- 5 ln (x) - 5 ln (y)

Apply log rule:

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

5 ln (x) = ln (x^{5})

= - ln (x^{5}) - 5 ln (y)

Apply log rule:

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

5 ln (y) = ln (y^{5})

= - ln (x^{5}) - ln (y^{5})

Rewrite

- ln (x^{5}) - ln (y^{5})

as

- (ln (x^{5}) + ln (y^{5}))

= - (ln (x^{5}) + ln (y^{5}))

Apply log rule:

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

ln (x^{5}) + ln (y^{5}) = ln (x^{5} y^{5})

= - ln (x^{5} y^{5})

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Frequently Asked Questions (FAQ)

What is simplify-5ln(x)-5ln(y) ?
The solution to simplify-5ln(x)-5ln(y) is -ln(x^5y^5)