The-number-of-integers-satisfying-the-inequality-3-5-2-log-3-12-3x-3-log-2-x-gt-83-is-

Question Number 121778 by Ar Brandon last updated on 11/Nov/20

The number of integers satisfying the inequality

3^{(5 / 2) \log_{3} (12 - 3 x)} - 3^{\log_{2} x} > 83 is____

Commented by 676597498 last updated on 11/Nov/20

is it \dots . . - 3^{\log_{3} x} or \dots - 3^{\log_{2} x}

Commented by Ar Brandon last updated on 11/Nov/20

{it}^{'} s \dots - 3^{\log_{2} x}

Answered by floor(10²Eta[1]) last updated on 11/Nov/20

12 - 3 x > 0 \Rightarrow x ⩽ 3

x > 0 \Rightarrow x ⩾ 1

\Rightarrow 1 ⩽ x ⩽ 3

only x = 1 and x = 2 works