Question

关于高中的方程题~1.解下列各式的X.（1）log2X=4 (2)logx√2=1/2 (3)logx27=3/4(4)

Answer 1

(1)、log2x = 4

x = 2^4 = 16

(2)、logx√2 = 1/2

x^(1/2) = √2

x = 2

(3)、logx27 = 3/4

x^(3/4) = 27

x^(3/4) = 3³

x^(1/4) = 3

x = 81

(4)、log7(x² - 1) = 0

x² - 1 = 1

x = √2

(5)、log2(x² - 1)(3x² + 2x - 1) = 1

(x²-1)(3x² + 2x - 1) = 2

(6)、log2×log2(6x) = 0

6x = 1

x = 1/6

(7)、log3(lgx)=1