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受欢迎的代数 >

2x+2^{-x+6}-20=0

解答

2 x + 2^{- x + 6} - 20 = 0

解答

x = 2, x = \frac{W _{0} ( - \frac{l n ( 2 )}{32} )}{ln ( 2 )} + 10

+1

十进制

x = 2, x = 9.96805 \dots

求解步骤

2 x + 2^{- x + 6} - 20 = 0

因式分解

2 x + 2^{- x + 6} - 20 : 2 (x + 2^{5 - x} - 10)

2 (x + 2^{5 - x} - 10) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 2^{5 - x} - 10 = 0

解

x + 2^{5 - x} - 10 = 0 : x = 2, x = \frac{W _{0} ( - \frac{l n ( 2 )}{32} )}{ln ( 2 )} + 10

x = 2, x = \frac{W _{0} ( - \frac{l n ( 2 )}{32} )}{ln ( 2 )} + 10

作图

流行的例子

10*(0.5)^x-2^3-x=64

10 \cdot (0.5)^{x} - 2^{3} - x = 64

3^{x} + 3^{x} = 54

4 x = 2^{x}

solvefor x,[t]=[p^x*d^y*e^2]

so l v e f or x, [t] = [p^{x} \cdot d^{y} \cdot e^{2}]

5^{6 x + 8} = 12 5^{4}