Question

( 9^{x}-6 cdot 3^{2}+8=0 Rightarrowleft(3^{x}right)^{2}-6 cdot 3^{x}+8=0 )
( Rightarrowleft(3^{x}-4right)left(3^{x}-2right)=0 )
( Rightarrow 3^{x}=2,4 )
( Rightarrow x=log _{3} 2, log _{3} 4 )
Sum of solutions of given equation
( =log _{3} 2+log _{3} 4 )
( =log _{3} 8 )
ophon (3) is corred-.

# () 243 15. The sum of the solutions of the equation 9x - 6.3x + 8 = 0 is (1) log, 2 (2) log, 6 (3) log, 8 (x +3x+2). (4) log, 4 x(x + 1) 8

Solution