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Popular >

expand ln(x^2sin(x))

Solution

expand

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

Solution

2 ln (x) + ln (sin (x))

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 ln (x) + ln (sin (x))

Popular Examples

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

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simplify (ln(7)-5ln(5))/(ln(5))simplify

\frac{ln ( 7 ) - 5 ln ( 5 )}{ln ( 5 )}

Frequently Asked Questions (FAQ)

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