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Popular >

expand ln(x^3y^2)

Solution

expand

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

Solution

3 ln (x) + 2 ln (y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

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Frequently Asked Questions (FAQ)

What is expand ln(x^3y^2) ?
The solution to expand ln(x^3y^2) is 3ln(x)+2ln(y)