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Popular >

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

Solution

simplify

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

Solution

- ln (x^{3} y^{2})

Solution steps

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

Apply log rule:

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

3 ln (x) = ln (x^{3})

= - ln (x^{3}) - 2 ln (y)

Apply log rule:

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

2 ln (y) = ln (y^{2})

= - ln (x^{3}) - ln (y^{2})

Rewrite

- ln (x^{3}) - ln (y^{2})

as

- (ln (x^{3}) + ln (y^{2}))

= - (ln (x^{3}) + ln (y^{2}))

Apply log rule:

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

ln (x^{3}) + ln (y^{2}) = ln (x^{3} y^{2})

= - ln (x^{3} y^{2})

Popular Examples

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Frequently Asked Questions (FAQ)

What is simplify-3ln(x)-2ln(y) ?
The solution to simplify-3ln(x)-2ln(y) is -ln(x^3y^2)