ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

64nlog_{10}(n)=8n^2

解

64 n lo g_{10} (n) = 8 n^{2}

解

n = - \frac{8 W _{- 1} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}

+1

十進法表記

n = 6.50709 \dots, n = 1.57231 \dots

解答ステップ

64 n lo g_{10} (n) = 8 n^{2}

8 n^{2}

を左側に移動します

64 n lo g_{10} (n) - 8 n^{2} = 0

因数

64 n lo g_{10} (n) - 8 n^{2} : 8 n (8 lo g_{10} (n) - n)

8 n (8 lo g_{10} (n) - n) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

n = 0 or 8 lo g_{10} (n) - n = 0

解く

8 lo g_{10} (n) - n = 0 : n = - \frac{8 W _{- 1} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}

解を検算する:

n = 0

偽

, n = - \frac{8 W _{- 1} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}

真

, n = - \frac{8 W _{0} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}

真

解答は

n = - \frac{8 W _{- 1} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}, n = - \frac{8 W _{0} ( - \frac{l n ( 10 )}{8} )}{ln ( 10 )}

グラフ

人気の例

ln (x) + x - 3 = 0

ln (x) = 2.7

6.2=1+log_{10}(x)

6.2 = 1 + lo g_{10} (x)

solvefor y,x=ln(y)+1

so l v e f or y, x = ln (y) + 1

lo g_{x} (9) = 4