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人気のある代数 >

n=8log_{2}(n)

解

n = 8 lo g_{2} (n)

解

n = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

+1

十進法表記

n = 43.55926 \dots, n = 1.09999 \dots

解答ステップ

n = 8 lo g_{2} (n)

辺を交換する

8 lo g_{2} (n) = n

以下で両辺を割る

8

lo g_{2} (n) = \frac{n}{8}

f (x) = g (x)

ならば,

a^{f (x)} = a^{g (x)}

2^{l o g_{2} (n)} = 2^{\frac{n}{8}}

簡素化

2^{l o g_{2} (n)} : n

n = 2^{\frac{n}{8}}

解く

n = 2^{\frac{n}{8}} : n = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

n = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

解を検算する:

n = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

真

, n = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

真

解答は

n = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

グラフ

人気の例

5.5=-log_{10}(x)

5.5 = - lo g_{10} (x)

log_{2}(x)=0.25

lo g_{2} (x) = 0.25

log_{2}(x^2-1)=3

lo g_{2} (x^{2} - 1) = 3

ln(x-2)=ln(2x-1)+3

ln (x - 2) = ln (2 x - 1) + 3

ln (2) = - ln (x)