Question

Resolva as equações exponenciais:​

Answer 1

a)

2^(x+3)  = 1/ 2^(3)

2^(x+3) = 2^(-3)

x + 3 = -3

x = -6

b)

5^(3x+1) = 5^2

3x+1 = 2

x = 1/3

c)

81^(x-2) = $\sqrt[4]{27}$

3^4(x-2) = $\sqrt[4]{3^3}$

3^4(x-2) = $3^\frac{3}{4}$

4x - 8 = 3/4

4x = 35/4

x = 35/16

d)

4^(x+1 / 2) = 4^(2/3)

x+1 / 2 = 2/3

3x + 3 = 4

x = 1/3