Question

Alguém pdria me ajudar ?
Resolva as equações exponenciais .

Answer 1

A)5²ˣ . 5⁴ˣ = 5⁵ˣ
5²ˣ⁺⁴ˣ = 5⁵ˣ
5⁶ˣ = 5⁵ˣ
6x=5x
6x-5x=0
x=0
B)7²ˣ . 7ˣ + 7³
7²ˣ = 7ˣ⁺³
2x=x+3
2x-x=3
x=3
C)9²ˣ=27ˣ⁻⁴
(3²)²ˣ=(3³)ˣ⁻⁴
3⁴ˣ=3³ˣ⁻¹²
4x=3x-12
4x-3x=-12
x=-12
D)2ˣ+2ˣ⁺³-2ˣ⁻¹=34
2ˣ+(2ˣ⁺³)/(2ˣ⁻²)=34
2ˣ+(2ˣ⁺³)/(2ˣ / 2²) = 34
2ˣ+(2ˣ⁺³). 2²/2ˣ = 34
2ˣ+(2². 2ˣ⁺³)/2ˣ=34
2ˣ+(2ˣ⁺¹)/2ˣ=34
2ˣ+(2ˣ . 2)/2ˣ=34
2ˣ+2=34
2ˣ=34-2
2ˣ=32
2ˣ=2⁵
x=5