Question

Resolva as equacoes exponenciais: URGENTEEEEEEEEEEEEE

Answer 1

a) 2^x = 64
2^x = 2^6
x = 6
b)3^10 x = 243
3^10 x = 3 ^5
10 x = 5 
x = 5/10
x = 1/2
c)4^x = 1/64
4^x = 1/4^3
4^x = 4^-3
x = -3
d) 2^2 x² + 3 x - 2   = 1
2^2 x² + 3 x - 2 = 2°
2 x² + 3 x - 2 = 0
Δ= b² - 4 .a . c
Δ = 3² - 4 .2 . -2
Δ = 9 + 16
Δ = 25 ⇒√25 = 5
x ´=-b +ou -5/2 .2
x´= -3 + 5/4
x´= 2/4 ⇒1/4
x´´ = -3 - 5/4 ⇒-8/4 = -2
S + {1/4;-2}