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Popular >

simplify ln((x+1)^2m)

Solution

simplify

ln ((x + 1)^{2} m)

Solution

2 ln (x + 1) + ln (m)

Solution steps

ln ((x + 1)^{2} m)

Apply log rule:

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

ln ((x + 1)^{2} m) = ln ((x + 1)^{2}) + ln (m)

= ln ((x + 1)^{2}) + ln (m)

Apply log rule:

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

ln ((x + 1)^{2}) = 2 ln (x + 1)

= 2 ln (x + 1) + ln (m)

Popular Examples

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expand log_{10}((x^2y^5)/(sqrt(z^3)))expand

lo g_{10} (\frac{x ^{2} y ^{5}}{z ^{3}})

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ln (e x^{4}) + 4

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2 lo g_{3} (x) - \frac{1}{2} lo g_{3} (y) + lo g_{3} (z)

Frequently Asked Questions (FAQ)

What is ln((x+1)^2m) ?
The solution to ln((x+1)^2m) is 2ln(x+1)+ln(m)