Question

resolva as equaçoes exponenciais:
a) 3x+2=3²
b) 5x=25
c) 2x=16
d) 3x=1/27
e) 23x=1/8
f) 4x= ∛32
g) 7x=√49
h) 9x=1/27
i) 3x=√27
j) 8x=√32

Answer 1

A)3x+2=3^2
3x+2=9
3x=9-2
3x=7
X=7/3

B)5x=25
X=25/5
X=5

C)2x=16
X=16/2
X=8

D)3x=1/27
71x=1
X=1/71

E)23x=1/8
184x=1
X=1/184

F)4x= ∛32
4x=∛2^3.2^2
4x=2√2
X=2√2/4
X=√2/2

G)7x=√49
7x=7
X=7/7
X=1

H)9x=1/27
243x=1
X=1/243

I)3x=√27
3x=√3^2.3
3x=3√3
X=3√3/3
X=√3

J)8x=√32
8x=√2^2.2^2.2
8x=2.2√2
8x=4√2
X=4√2/8
X=√2/2

Answer 2

$a)3x + 2 = 3^{2} \\ \: \: \: \: 5x = 3^{2} \\ \: \: \: \: 5x = 9 \\ \: \: \: \: x = \frac{9}{5} \\ b)5x = 25 \\ \: \: \: x = \frac{25}{5} \\ \: \: \: x = 5 \\ c)2x = 16 \\ \: \: \: x = \frac{16}{2} = 8 \\ x = 8$