Question

11) if 7∧ (1-x) = 2 ∧ (1+x), what is the value of x?

help

Answer 1

x = 0.47

Explanation:

`{7}^((1 - x)) = {2}^((1 + x)) \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_(7)(7)^((1 - x)) = log_(7)(2)^((1 + x)) \\ (1 - x) log_(7)(7) = (1 + x) log_(7)(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = (0.64)/(1.36) \\ x = 0.47`