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Popular >

expand ln(x^n)

Solution

expand

ln (x^{n})

Solution

n ln (x)

Solution steps

ln (x^{n})

Apply log rule:

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

ln (x^{n}) = n ln (x)

= n ln (x)

Popular Examples

simplify ln(5)+ln^7(-3ln^2(x))simplify

ln (5) + ln^{7} (- 3 ln^{2} (x))

simplify ln(x)-4[ln(x-6)+ln(x+6)]simplify

ln (x) - 4 [ln (x - 6) + ln (x + 6)]

simplify 3log_{b}(x)+2log_{b}(z)simplify

3 lo g_{b} (x) + 2 lo g_{b} (z)

simplify log_{8}(1/24)simplify

lo g_{8} (\frac{1}{24})

join 1/5 log_{6}(3)join

\frac{1}{5} lo g_{6} (3)

Frequently Asked Questions (FAQ)

What is expand ln(x^n) ?
The solution to expand ln(x^n) is nln(x)