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Popular >

simplify ln(3x^{-4}y)

Solution

simplify

ln (3 x^{- 4} y)

Solution

ln (3) - 4 ln (x) + ln (y)

Solution steps

ln (3 x^{- 4} y)

Apply log rule:

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

ln (3 x^{- 4} y) = ln (3) + ln (x^{- 4}) + ln (y)

= ln (3) + ln (x^{- 4}) + ln (y)

Apply log rule:

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

ln (x^{- 4}) = - 4 ln (x)

= ln (3) - 4 ln (x) + ln (y)

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Frequently Asked Questions (FAQ)

What is ln(3x^{-4}y) ?
The solution to ln(3x^{-4}y) is ln(3)-4ln(x)+ln(y)