1. Resolva em R, as seguintes equaçoes exponenciais:
A) (1/3)ˣ=81
B) (1/3)ˣ= 1/32
C) (1/3)ˣ=27
d) 8ˣ=16
e) (3ˣ)ˣ⁺1 = 729
Soluções para a tarefa
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(1/3)^x = (1/3)^-4
x = -4 ✓
(1/2)^x = 1/32 ==> corrigi
(1/2)^x = (1/2)^5
x = 5
(1/3)^x = (1/3)^-3
x = -3 ✓
8^x = 16
2^3x = 2^4
x = 4/3 ✓
3^x(x+1) = 3^6
x²+x -6 = 0
∆=1 +24= 25 => √∆=5
x'= -1+5/2 = 4/2= 2 ✓
x"= -1-5/2 =-6/2= -3✓
x = -4 ✓
(1/2)^x = 1/32 ==> corrigi
(1/2)^x = (1/2)^5
x = 5
(1/3)^x = (1/3)^-3
x = -3 ✓
8^x = 16
2^3x = 2^4
x = 4/3 ✓
3^x(x+1) = 3^6
x²+x -6 = 0
∆=1 +24= 25 => √∆=5
x'= -1+5/2 = 4/2= 2 ✓
x"= -1-5/2 =-6/2= -3✓
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