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Popular >

expand ln((xy)^7)

Solution

expand

ln ((x y)^{7})

Solution

7 ln (x) + 7 ln (y)

Solution steps

ln ((x y)^{7})

Apply log rule:

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

ln ((x y)^{7}) = 7 ln (x y)

= 7 ln (x y)

Apply log rule:

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

7 ln (x y) = 7 ln (x) + 7 ln (y)

= 7 ln (x) + 7 ln (y)

Popular Examples

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(10) lo g_{10} (\frac{2 \cdot 1 0 ^{- 8}}{1 0 ^{- 12}})

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- lo g_{10} (9.6 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is expand ln((xy)^7) ?
The solution to expand ln((xy)^7) is 7ln(x)+7ln(y)