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Popular >

expand ln(5x^3y)

Solution

expand

ln (5 x^{3} y)

Solution

ln (5) + 3 ln (x) + ln (y)

Solution steps

ln (5 x^{3} y)

Apply log rule:

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

ln (5 x^{3} y) = ln (5) + ln (x^{3}) + ln (y)

= ln (5) + ln (x^{3}) + ln (y)

Apply log rule:

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

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

= ln (5) + 3 ln (x) + ln (y)

Popular Examples

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- 2 ln (\frac{- 128.1}{- 126.9})

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(\frac{5}{100}) \cdot lo g_{2} (\frac{\frac{5}{100}}{\frac{13}{100} \cdot \frac{43}{100}})

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\frac{1}{2} ln (\frac{157}{93})

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ln (\frac{150}{600})

Frequently Asked Questions (FAQ)

What is expand ln(5x^3y) ?
The solution to expand ln(5x^3y) is ln(5)+3ln(x)+ln(y)