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Popular >

expand ln(x^2y^3)

Solution

expand

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

Solution

2 ln (x) + 3 ln (y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

simplify-log_{10}(5.3*10^{-8})simplify

- lo g_{10} (5.3 \cdot 1 0^{- 8})

expand ln(xy^2z^{-4})expand

ln (x y^{2} z^{- 4})

simplify 6.1+log_{10}((13)/(12.2))simplify

6.1 + lo g_{10} (\frac{13}{12.2})

simplify ln((100)/(96.87))simplify

ln (\frac{100}{96.87})

expand log_{3}(5x^2)expand

lo g_{3} (5 x^{2})

Frequently Asked Questions (FAQ)

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