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受欢迎的代数 >

ln(5x-4)=ln(8)-ln(x-2)

解答

ln (5 x - 4) = ln (8) - ln (x - 2)

解答

x = \frac{14}{5}

+1

十进制

x = 2.8

求解步骤

ln (5 x - 4) = ln (8) - ln (x - 2)

两边加上

ln (x - 2)

ln (5 x - 4) + ln (x - 2) = ln (8) - ln (x - 2) + ln (x - 2)

化简

ln (5 x - 4) + ln (x - 2) = ln (8)

使用对数运算法则

(5 x - 4) (x - 2) = 8

解

(5 x - 4) (x - 2) = 8 : x = \frac{14}{5}, x = 0

x = \frac{14}{5}, x = 0

验证解:

x = \frac{14}{5}

真

, x = 0

假

解是

x = \frac{14}{5}

作图

流行的例子

log_{10}(x)=(-1)/n

lo g_{10} (x) = \frac{- 1}{n}

ln((x^2)/(x+2))=0

ln (\frac{x ^{2}}{x + 2}) = 0

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

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

-0.04=log_{10}(x)

- 0.04 = lo g_{10} (x)

log_{3}(x)-2log_{10}(x)(3)=1

lo g_{3} (x) - 2 lo g_{10} (x) (3) = 1