Question

Equação exponencial

3ˣ⁻² = 9

2ˣ = 1/64

1/3 ˣ⁻³ = 3⁻¹

Answer 1

Explicação passo-a-passo:

3×-² = 9

3×-² = 3²

x-² = ²

x = 2+2

× =4

2× = 1/64

2× = 1/2⁶

2× = 2-⁶

x = - 6

1/3 ×-³ = 3-¹

1/3 ×-³ = 1/3¹

x - 3 = 1

x = 1 + 3

x = 4

Answer 2

${3}^{x - 2} = 9 \\ {3}^{x - 2} = {3}^{2} \\ x - 2 = 2 \\ x = 2 + 2 \\ x = 4$

${2}^{x} = \frac{1}{64} \\ {2}^{x} = {64}^{ - 1} \\ {2}^{x} = {( {2}^{6}) }^{ - 1} \\ {2}^{x} = {2}^{6( - 1)} \\ x = 6( - 1) \\ x = - 6$

${ \frac{1}{3} }^{x - 3} = {3}^{ - 1} \\ { \frac{1}{3} }^{x - 3} = \frac{1}{3} \\ x - 3 = 1 \\ x = 1 + 3 \\ x = 4$