What is expand ln((x+2)^3(x+7)) ?

The solution to expand ln((x+2)^3(x+7)) is 3ln(x+2)+ln(x+7)

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expand ln((x+2)^3(x+7))

expand

ln ((x + 2)^{3} (x + 7))

3 ln (x + 2) + ln (x + 7)

Solution steps

ln ((x + 2)^{3} (x + 7))

Apply log rule:

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

ln ((x + 2)^{3} (x + 7)) = ln ((x + 2)^{3}) + ln (x + 7)

= ln ((x + 2)^{3}) + ln (x + 7)

Apply log rule:

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

ln ((x + 2)^{3}) = 3 ln (x + 2)

= 3 ln (x + 2) + ln (x + 7)

ln (\frac{0.4411}{0.4143})

2 ln (4) + ln (2^{5})

ln (2) + ln (19) + 1

ln (v \cdot x^{2})

ln (\frac{x y}{( y - x ) ^{3}})

What is expand ln((x+2)^3(x+7)) ?
The solution to expand ln((x+2)^3(x+7)) is 3ln(x+2)+ln(x+7)