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受欢迎的代数 >

3.2^x+2^{-6}=48

解答

3. 2^{x} + 2^{- 6} = 48

解答

x = \frac{ln ( \frac{3071}{64} )}{ln ( 3.2 )}

+1

十进制

x = 3.32792 \dots

求解步骤

3. 2^{x} + 2^{- 6} = 48

将

2^{- 6}

到右边

3. 2^{x} = 48 - 2^{- 6}

化简

48 - 2^{- 6} : 48 - \frac{1}{64}

3. 2^{x} = 48 - \frac{1}{64}

使用指数运算法则

x ln (3.2) = ln (48 - \frac{1}{64})

解

x ln (3.2) = ln (48 - \frac{1}{64}) : x = \frac{ln ( \frac{3071}{64} )}{ln ( 3.2 )}

x = \frac{ln ( \frac{3071}{64} )}{ln ( 3.2 )}

作图

流行的例子

solvefor m,2^m0.3^n0.72=1

so l v e f or m, 2^{m} 0. 3^{n} 0.72 = 1

solvefor x, 1/(a^x)=e^{-y}

so l v e f or x, \frac{1}{a ^{x}} = e^{- y}

64^{2x-5}=32^{x-4}

6 4^{2 x - 5} = 3 2^{x - 4}

solvefor n,2=t+t^n

so l v e f or n, 2 = t + t^{n}

((2^x*3^x))/((12^x))= 1/8

\frac{( 2 ^{x} \cdot 3 ^{x} )}{( 1 2 ^{x} )} = \frac{1}{8}