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Popular >

simplify ln(x^3sqrt(y))

Solution

simplify

ln (x^{3} y)

Solution

3 ln (x) + ln (y)

Solution steps

ln (x^{3} y)

Apply log rule:

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

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

= 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)

= 3 ln (x) + ln (y)

Popular Examples

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ln (8) + ln (5)

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3 ln (x) + 12 ln (y)

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ln (\frac{78}{80}) \cdot 60

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

Frequently Asked Questions (FAQ)

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