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受欢迎的代数 >

x-4=ln(x)

解答

x - 4 = ln (x)

解答

x = - W_{- 1} (- \frac{1}{e ^{4}}), x = - W_{0} (- \frac{1}{e ^{4}})

+1

十进制

x = 5.74903 \dots, x = 0.01866 \dots

求解步骤

x - 4 = ln (x)

若

f (x) = g (x)

，则

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

e^{x - 4} = e^{l n (x)}

化简

e^{l n (x)} : x

e^{x - 4} = x

解

e^{x - 4} = x : x = - W_{- 1} (- \frac{1}{e ^{4}}), x = - W_{0} (- \frac{1}{e ^{4}})

x = - W_{- 1} (- \frac{1}{e ^{4}}), x = - W_{0} (- \frac{1}{e ^{4}})

验证解:

x = - W_{- 1} (- \frac{1}{e ^{4}})

真

, x = - W_{0} (- \frac{1}{e ^{4}})

真

解为

x = - W_{- 1} (- \frac{1}{e ^{4}}), x = - W_{0} (- \frac{1}{e ^{4}})

作图

流行的例子

solvefor x,2z=log_{x}(y)

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

2log_{2}(x+3)=log_{2}(x+5)

2 lo g_{2} (x + 3) = lo g_{2} (x + 5)

4ln(4b)-ln(2b)=0

4 ln (4 b) - ln (2 b) = 0

-0.3=-0.56585-0.059ln(x)

- 0.3 = - 0.56585 - 0.059 ln (x)

log_{10}(36)+log_{10}(x)=25

lo g_{10} (36) + lo g_{10} (x) = 25