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人気のある代数 >

x-7+log_{2}(x+8)=-5

解

x - 7 + lo g_{2} (x + 8) = - 5

解

x = \frac{W _{0} ( 1024 ln ( 2 ) )}{ln ( 2 )} - 8

+1

十進法表記

x = - 0.83996 \dots

解答ステップ

x - 7 + lo g_{2} (x + 8) = - 5

x

を右側に移動します

- 7 + lo g_{2} (x + 8) = - 5 - x

7

を右側に移動します

lo g_{2} (x + 8) = - x + 2

f (x) = g (x)

ならば,

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

2^{l o g_{2} (x + 8)} = 2^{- x + 2}

簡素化

2^{l o g_{2} (x + 8)} : x + 8

x + 8 = 2^{- x + 2}

解く

x + 8 = 2^{- x + 2} : x = \frac{W _{0} ( 1024 ln ( 2 ) )}{ln ( 2 )} - 8

x = \frac{W _{0} ( 1024 ln ( 2 ) )}{ln ( 2 )} - 8

解を検算する:

x = \frac{W _{0} ( 1024 ln ( 2 ) )}{ln ( 2 )} - 8

真

解は

x = \frac{W _{0} ( 1024 ln ( 2 ) )}{ln ( 2 )} - 8

グラフ

人気の例

ln(2)-ln(3x+4)+ln(4-3x)=ln(2)

ln (2) - ln (3 x + 4) + ln (4 - 3 x) = ln (2)

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

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

log_{10}(x+3)-log_{10}(x-3)=1

lo g_{10} (x + 3) - lo g_{10} (x - 3) = 1

log_{10}(x^2)=1.7482

lo g_{10} (x^{2}) = 1.7482

2.3log_{10}((t^1)/(t^2))=0.69825

2.3 lo g_{10} (\frac{t ^{1}}{t ^{2}}) = 0.69825