Question 1076933
 

{{{ (root(3, 2))^(2-x)=2^(x^2)}}}


{{{ ( (2^(1/3)))^(2-x)=2^(x^2)}}}


{{{ 2^((1/3)(2-x))=2^(x^2)}}}.........if base same, we have


{{{ (1/3)(2-x)=x^2}}}


{{{ 2-x=3x^2}}}


{{{ 3x^2+x-2=0}}}


{{{ 3x^2+3x-2x-2=0}}}


{{{ (3x^2+3x)-(2x+2)=0}}}


{{{ 3x(x+1)-2(x+1)=0}}}


{{{ (x + 1) (3x - 2) = 0}}}


solutions:


if {{{ (x + 1) = 0}}}=>{{{x=-1}}}->Integer solution

if {{{  (3x - 2) = 0}}}=>{{{x=2/3}}}->Real solution