zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

n-8log_{10}(n)=0

解答

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

解答

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

十进制

n = 6.50709 \dots, n = 1.57231 \dots

求解步骤

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

将

n

到右边

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

两边除以

- 8

lo g_{10} (n) = \frac{n}{8}

若

f (x) = g (x)

，则

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

1 0^{l o g_{10} (n)} = 1 0^{\frac{n}{8}}

化简

1 0^{l o g_{10} (n)} : n

n = 1 0^{\frac{n}{8}}

解

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

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

验证解:

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

解为

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

作图

流行的例子

solvefor x,log_{3}(x+1)=3

so l v e f or x, lo g_{3} (x + 1) = 3

4 ln (- x) + 3 = 21

log_{2}(7x+11)=5

lo g_{2} (7 x + 11) = 5

log_{32}(x)=-3/5

lo g_{32} (x) = - \frac{3}{5}

ln(3x+1)-ln(4-x)=ln(4)

ln (3 x + 1) - ln (4 - x) = ln (4)