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Popular >

simplify ln((x+1)^3*y)

Solution

simplify

ln ((x + 1)^{3} \cdot y)

Solution

3 ln (x + 1) + ln (y)

Solution steps

ln ((x + 1)^{3} y)

Apply log rule:

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

ln ((x + 1)^{3} y) = ln ((x + 1)^{3}) + ln (y)

= ln ((x + 1)^{3}) + ln (y)

Apply log rule:

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

ln ((x + 1)^{3}) = 3 ln (x + 1)

= 3 ln (x + 1) + ln (y)

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Frequently Asked Questions (FAQ)

What is ln((x+1)^3*y) ?
The solution to ln((x+1)^3*y) is 3ln(x+1)+ln(y)