Question

Calcule:a )log x 8=3 b) log x 1/16 =2c)log² x=5d) log9 27=x  

Answer 1

a) logx 8 = 3
x³ = 8
x³ = 2³ ==> x= 2

b) logx 1/16 = 2
x² = 1/16
x² = (1/4)² ==> x = 1/4

c) log2 x = 5
x = 2⁵ ==> x = 32

d) log9 27 = x
9^x = 27
3^(2x) = 3³
2x = 3 ==> x = 3/2