2^{5x+2}=8^9

解答

2^{5 x + 2} = 8^{9}

x = 5

求解步骤

2^{5 x + 2} = 8^{9}

使用指数运算法则

5 x + 2 = 27

解

5 x + 2 = 27 : x = 5

x = 5

(\frac{( 2 ^{1 - 2 x} )}{( 2 ^{x + 3} )})^{3} = 4

so l v e f or y, \frac{( 2 ^{y} - 1 )}{( 2 ^{y} + 1 )} = x

3^{x} = 171

2^{1 + x} + 2^{1 - x} = 5

so l v e f or x, \frac{( 9 ^{x} - 1 )}{( 3 ^{y} + 2 )} = 81