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Popular >

simplify ln(x^6sqrt(y))

Solution

simplify

ln (x^{6} y)

Solution

6 ln (x) + ln (y)

Solution steps

ln (x^{6} y)

Apply log rule:

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

ln (x^{6} y) = ln (x^{6}) + ln (y)

= ln (x^{6}) + ln (y)

Apply log rule:

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

ln (x^{6}) = 6 ln (x)

= 6 ln (x) + ln (y)

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Frequently Asked Questions (FAQ)

What is ln(x^6sqrt(y)) ?
The solution to ln(x^6sqrt(y)) is 6ln(x)+ln(sqrt(y))