Question

Resolva as equações exponenciais

a) 2^x-2 = 8

b) 8^x = 32

Answer 1

2ˣ⁻² = 8          8 = 2.2.2 = 2³
2ˣ⁻² = 2³  cancelando as bases
x - 2 = 3
x = 3 + 2
x = 5

8ˣ = 32            8 = 2.2.2 = 2³      32 = 2.2.2.2.2 = 2⁵
(2³)ˣ = 2⁵
2³ˣ = 2⁵    cancelanod as bases
  3x = 5
   x = 5/3