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受欢迎的代数 >

log_{10}(x)+log_{10}(x-9)=2

解答

lo g_{10} (x) + lo g_{10} (x - 9) = 2

解答

x = \frac{9 + 481}{2}

+1

十进制

x = 15.46585 \dots

求解步骤

lo g_{10} (x) + lo g_{10} (x - 9) = 2

使用对数运算法则

x (x - 9) = 100

解

x (x - 9) = 100 : x = \frac{9 + 481}{2}, x = \frac{9 - 481}{2}

x = \frac{9 + 481}{2}, x = \frac{9 - 481}{2}

验证解:

x = \frac{9 + 481}{2}

真

, x = \frac{9 - 481}{2}

假

解是

x = \frac{9 + 481}{2}

作图

流行的例子

solvefor x,ln(3x)=\mathbb{R}

so l v e f or x, ln (3 x) = R

log_{10}(x)=1000000000

lo g_{10} (x) = 1000000000

solvefor x,ln(x-y^2)=0

so l v e f or x, ln (x - y^{2}) = 0

2 + ln (x + 5) = 3

lo g_{2} (X + 3) = 4