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人気のある代数 >

x=(log_{10}(x)+7)/2

解

x = \frac{lo g _{10} ( x ) + 7}{2}

解

x = - \frac{W _{0} ( - \frac{l n ( 10 )}{5000000} )}{2 ln ( 10 )}

+1

十進法表記

x = 0.0000001

解答ステップ

x = \frac{lo g _{10} ( x ) + 7}{2}

辺を交換する

\frac{lo g _{10} ( x ) + 7}{2} = x

以下で両辺を乗じる:

2

lo g_{10} (x) + 7 = 2 x

7

を右側に移動します

lo g_{10} (x) = 2 x - 7

f (x) = g (x)

ならば,

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

1 0^{l o g_{10} (x)} = 1 0^{2 x - 7}

簡素化

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

x = 1 0^{2 x - 7}

解く

x = 1 0^{2 x - 7} : x = - \frac{W _{0} ( - \frac{l n ( 10 )}{5000000} )}{2 ln ( 10 )}

x = - \frac{W _{0} ( - \frac{l n ( 10 )}{5000000} )}{2 ln ( 10 )}

解を検算する:

x = - \frac{W _{0} ( - \frac{l n ( 10 )}{5000000} )}{2 ln ( 10 )}

真

解は

x = - \frac{W _{0} ( - \frac{l n ( 10 )}{5000000} )}{2 ln ( 10 )}

グラフ

人気の例

lo g_{a} (1) = 0

log_{2}((x+4)^2)=4

lo g_{2} ((x + 4)^{2}) = 4

1+log_{10}(x)=log_{10}(x+1)

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

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

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

log_{9}(x+1)-log_{9}(1-x)=log_{9}(2x+3)

lo g_{9} (x + 1) - lo g_{9} (1 - x) = lo g_{9} (2 x + 3)