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Popular >

simplify ln(x^a)

Solution

simplify

ln (x^{a})

Solution

a ln (x)

Solution steps

ln (x^{a})

Apply log rule

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

assuming

x \geq 0

= a ln (x)

Popular Examples

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\frac{4}{3} - \frac{1}{1}

simplify (x-2)/(x^2+1)+(x+3)/(x^2+1)simplify

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

simplify (sec(x)sin(x))/(tan(x)+cot(x))simplify

\frac{sec ( x ) sin ( x )}{tan ( x ) + cot ( x )}

simplify sqrt(4*5)simplify

4 \cdot 5

simplify sqrt(3)(sqrt(7)-sqrt(175))simplify

3 (7 - 175)

Frequently Asked Questions (FAQ)

What is ln(x^a) ?
The solution to ln(x^a) is aln(x)