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Popular >

simplify log_{2}(n^n)

Solution

simplify

lo g_{2} (n^{n})

Solution

n lo g_{2} (n)

Solution steps

lo g_{2} (n^{n})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{2} (n^{n}) = n lo g_{2} (n)

= n lo g_{2} (n)

Popular Examples

simplify 8(x/(2+y))^3-6(x+2y)^2x+12(x+2y)x^2-8x^3 simplify

8 (\frac{x}{2 + y})^{3} - 6 (x + 2 y)^{2} x + 12 (x + 2 y) x^{2} - 8 x^{3}

factor 55x^4+146x^2+55 factor

55 x^{4} + 146 x^{2} + 55

simplify 64/125*p^3-8-96/25*p^2+48/5*p simplify

\frac{64}{125} \cdot p^{3} - 8 - \frac{96}{25} \cdot p^{2} + \frac{48}{5} \cdot p

factor a^{10}-a^8+a^6+a^4 factor

a^{10} - a^{8} + a^{6} + a^{4}

factor 35xy-55x^2+10x factor

35 x y - 55 x^{2} + 10 x

Frequently Asked Questions (FAQ)

What is log_{2}(n^n) ?
The solution to log_{2}(n^n) is nlog_{2}(n)