log_{2}(8x+3)=5

解答

lo g_{2} (8 x + 3) = 5

x = \frac{29}{8}

十进制

x = 3.625

求解步骤

lo g_{2} (8 x + 3) = 5

使用对数运算法则

8 x + 3 = 32

解

8 x + 3 = 32 : x = \frac{29}{8}

x = \frac{29}{8}

lo g_{2} (5 x) - lo g_{2} (2) = 3

so l v e f or x, 4 ln (3 x) = 16

- 2 x + 5 \cdot ln (x + 1) - 2 = 0

so l v e f or x, 2 (lo g_{9} (30 x)) = 7

lo g_{2} (x + 1) + lo g_{2} (3 x + 1) = 3