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受欢迎的代数 >

14log_{10}(x^2-x-6)=1

解答

14 lo g_{10} (x^{2} - x - 6) = 1

解答

x = \frac{1 + 25 + 4 14 10}{2}, x = \frac{1 - 25 + 4 14 10}{2}

+1

十进制

x = 3.22557 \dots, x = - 2.22557 \dots

求解步骤

14 lo g_{10} (x^{2} - x - 6) = 1

两边除以

14

lo g_{10} (x^{2} - x - 6) = \frac{1}{14}

使用对数运算法则

x^{2} - x - 6 = 1410

解

x^{2} - x - 6 = 1410 : x = \frac{1 + 25 + 4 14 10}{2}, x = \frac{1 - 25 + 4 14 10}{2}

x = \frac{1 + 25 + 4 14 10}{2}, x = \frac{1 - 25 + 4 14 10}{2}

验证解:

x = \frac{1 + 25 + 4 14 10}{2}

真

, x = \frac{1 - 25 + 4 14 10}{2}

真

解为

x = \frac{1 + 25 + 4 14 10}{2}, x = \frac{1 - 25 + 4 14 10}{2}

作图

流行的例子

2log_{10}(x+2)=x

2 lo g_{10} (x + 2) = x

4=5log_{10}(x)-log_{2}(x)

4 = 5 lo g_{10} (x) - lo g_{2} (x)

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

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

4(log_{5}(x)+log_{x}(5))=10

4 (lo g_{5} (x) + lo g_{x} (5)) = 10

solvefor x,y-1=ln(x)

so l v e f or x, y - 1 = ln (x)