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受欢迎的代数 >

80=29.499*ln(x)-82.679

解答

80 = 29.499 \cdot ln (x) - 82.679

解答

x = e^{\frac{162679}{29499}}

+1

十进制

x = 248.32275 \dots

求解步骤

80 = 29.499 ln (x) - 82.679

交换两边

29.499 ln (x) - 82.679 = 80

在两边乘以

1000

29499 ln (x) - 82679 = 80000

将

82679

到右边

29499 ln (x) = 162679

两边除以

29499

ln (x) = \frac{162679}{29499}

使用对数运算法则

x = e^{\frac{162679}{29499}}

验证解:

x = e^{\frac{162679}{29499}}

真

解是

x = e^{\frac{162679}{29499}}

作图

流行的例子

24=10log_{10}(x)

24 = 10 lo g_{10} (x)

ln(1/(x^2))+ln(x)=4

ln (\frac{1}{x ^{2}}) + ln (x) = 4

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ln (4 x) - 3 ln (x^{2}) = ln^{2} (x)

(ln(x))^3=7ln(x)

(ln (x))^{3} = 7 ln (x)

log_{4}(100-3x)=23219

lo g_{4} (100 - 3 x) = 23219