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Popular >

simplify ln(x^{100})

Solution

simplify

ln (x^{100})

Solution

100 ln (x)

Solution steps

ln (x^{100})

Apply log rule

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

assuming

x \geq 0

= 100 ln (x)

Popular Examples

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\int_{- 2}^{2} x^{2} d x

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x^{\frac{2}{3}} - x^{\frac{1}{3}}

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\int 7 sin (2) (x) cos (3) (x) d x

derivative of (x^2(x-1)/((x+1)^2))

\frac{d}{d x} (\frac{x ^{2} ( x - 1 )}{( x + 1 ) ^{2}})

Frequently Asked Questions (FAQ)

What is ln(x^{100}) ?
The solution to ln(x^{100}) is 100ln(x)