2.3 mũ x+1=10.3 mũ12 + 8.3 mũ 12 2 mũ x +2 mũ x+3 =144

2 bình luận về “2.3 mũ x+1=10.3 mũ12 + 8.3 mũ 12 2 mũ x +2 mũ x+3 =144”

1. Giải đáp:

    2.3^{x+1}=10.3^{12}+8.3^{12}

   => 2.3^{x+1}=3^{12}.(10+8)

   => 2.3^{x+1}=3^{12}.18

   => 2.3^{x+1}=3^{12}.3^{2}.2

   (bỏ 2 ở cả cả vế)

   => 3^{x+1}=3^{12+2}

   => 3^{x+1}=3^{14}

   => x+1=14

   => x=14-1

   => x=13

   Vậy x=13

   ________________

   2^{x}+2^{x+3}=144

   => 2^{x}.1+2^{x}.2^{3}=144

   => 2^{x}.(1+2^{3})=144

   => 2^{x}.(1+8)=144

   => 2^{x}.9=144

   => 2^{x}=16

   => 2^{x}=2^{4}

   => x=4

   Vậy x=4

   Trả lời
2. 2.3^{x+1}=10.3^{12}+8.3^{12}

   2.3^{x}.3=3^{12}.(10+8)

   6.3^{x}=3^{12}.18

   3^{x}=3^{12}.18:6

   3^{x}=3^{12}.3

   3^{x}=3^{13}

   x=13

   Vậy x=13

   $\\$

   2^{x}+2^{x+3}=144

   2^{x}+2^{x}.2^3=144

   2^{x}.(1+2^3)=144

   2^{x}.(1+8)=144

   2^{x}.9=144

   2^{x}=144:9

   2^{x}=16

   2^{x}=2^4

   x=4

   Vậy x=4

    

   Trả lời