Question

2 la puterea x-3=1

3 la puterea x+1=3 • 3 la puterea x

6 la puterea x+8=36 • 6 la puterea 2x

2 la puterea x+7=2 la puterea x • 2 la puterea x+1

Answer 1

2ˣ - 3 = 1

2ˣ = 1 + 3

2 ˣ = 4

2ˣ = 2² ==>  x = 2

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3ˣ⁺¹ = 3 x 3ˣ

3ˣ x 3 = 3 x 3ˣ  ==>   ∀ x ∈N; R

6ˣ⁺⁸ = 36 x 6²ˣ

6ˣ⁺⁸ = 6²ˣ ⁺ ² ===>   x + 8 = 2 x + 2 => 2 x - x = 8 - 2 =>   x = 6

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2ˣ ⁺⁷ = 2ˣ x 2ˣ⁺¹ = 2²ˣ ⁺¹ = >  2 x + 1 = x + 7 ==>  2 x - x  = 7 - 1 =>  x = 6