10^{5+8x}=79800

解答

1 0^{5 + 8 x} = 79800

x = \frac{ln ( \frac{399}{500} )}{8 ln ( 10 )}

十进制

x = - 0.01224 \dots

求解步骤

1 0^{5 + 8 x} = 79800

使用指数运算法则

(5 + 8 x) ln (10) = ln (79800)

解

(5 + 8 x) ln (10) = ln (79800) : x = \frac{ln ( \frac{399}{500} )}{8 ln ( 10 )}

x = \frac{ln ( \frac{399}{500} )}{8 ln ( 10 )}

3 \cdot 2 0^{x} = 2^{x + 1}

2^{2 x + 1} - 5 (2^{x}) - 12 = 0

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

2. 5^{- 4 r} = 6.4

x^{l o g_{10} (x)} = 1 0^{8}