Question

Encontre o valor de x da equação exponencial
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Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{64^{\:x - 6}\:.\:4^{\:9x - 3} = 64^{\:6x + 4}}$

$\mathsf{(4^3)^{\:x - 6}\:.\:4^{\:9x - 3} = (4^3)^{\:6x + 4}}$

$\mathsf{4^{\:3x - 18}\:.\:4^{\:9x - 3} = 4^{\:18x + 12}}$

$\mathsf{(3x - 18) + (9x - 3) = 18x + 12}$

$\mathsf{12x - 21 = 18x + 12}$

$\mathsf{12x - 18x = 12 + 21}$

$\mathsf{-6x = 33}$

$\mathsf{x = -\dfrac{33 \div 2}{6 \div 2}}$

$\boxed{\boxed{\mathsf{x = -\dfrac{11}{2}}}}$

Answer 2

Olá! então...

x= n

64ⁿ-⁶.4⁹ⁿ-³= 64⁶ⁿ+⁴

2⁶ⁿ-³⁶.2¹⁸ⁿ-⁶= 2³⁶+²⁴

2²⁴ⁿ-⁴²=2³⁶ⁿ+²⁴

2²⁴ⁿ-⁴²/2³⁶ⁿ+²⁴= 1

2-¹²ⁿ-⁶⁶= 1

-12n-66= 0

12n= -66

n= 66/12

n= 5,5

x= 5,5