Question

Resolva as equações exponenciais:
a) 3^-3+x=81
b) 4^x+2=64^x-1
c) 5.2^x+3=80
d) 3^x2-5x+6=1

Answer 1

a) 3^-3 +x = 3^4
-3 + x = 4
x = 4 + 3
x = 7

b) 4^x+2 = 4^3^x-1
4^x+2 = 4^3x-3
x + 2 = 3x - 3
x - 3x = -3 - 2
-2x = -5
x = 5/2

d)3^x^2-5x +6 = 3^0
x^2 - 5x + 6 = 0 (báskara)

Answer 2

(3)ˣ⁻³ = (3)⁴
x - 3 = 4
x = 4 + 3
x = 7 ***

( 4)ˣ⁺²  = ( 64)ˣ⁻¹
( 2²) ˣ⁺² = ( 2⁶)ˣ⁻¹
( 2)²ˣ⁺⁴  = (2)⁶ˣ⁻⁶
2X + 4 = 6X - 6
2X - 6X = -6 - 4
-4X = -10
4X = 10
X = 10/4 = 5/2 ***

( 3)ˣ²⁻⁵ˣ⁺⁶ = (3)⁰
Nota  = 3⁰  = 1  ****

x² - 5x + 6 = 0
delta = 25 - 24 = 1 ou +-V1  = +-1 ****

x = ( 5 +-1)/2
x1 = 6/2 = 3 ****
x2 = 4/2 = 2 ****