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受欢迎的代数 >

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

解答

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

解答

x = \frac{W _{0} ( 1000 ln ( 10 ) )}{ln ( 10 )}

+1

十进制

x = 2.58717 \dots

求解步骤

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

若

f (x) = g (x)

，则

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

1 0^{l o g_{10} (x)} = 1 0^{- x + 3}

化简

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

x = 1 0^{- x + 3}

解

x = 1 0^{- x + 3} : x = \frac{W _{0} ( 1000 ln ( 10 ) )}{ln ( 10 )}

x = \frac{W _{0} ( 1000 ln ( 10 ) )}{ln ( 10 )}

验证解:

x = \frac{W _{0} ( 1000 ln ( 10 ) )}{ln ( 10 )}

真

解是

x = \frac{W _{0} ( 1000 ln ( 10 ) )}{ln ( 10 )}

作图

流行的例子

lo g_{5} (x - 4) = 3

solvefor x,t=log_{2}(x)

so l v e f or x, t = lo g_{2} (x)

ln (x^{2} - x) = 0

2log_{10}(3x)=0

2 lo g_{10} (3 x) = 0

0.61 = ln (x)