Question

Sendo 2^[log base 8.(log x na base 2)] = 1/2! Assinale a alternativa que contem o valor de X^8.
Repostas
4
2
3
1
8

Answer 1

Observe que 2^[log₈ (log₂ x)] = 1/2 => 2^[log₈ (log₂ x) = 2⁻¹ => log₈ (log₂ x) = -1 => log₂ x = 8⁻¹ => log₂ x = 1/8 => x = 2^1/8, logo, x⁸ = (2^1/8)⁸ => x⁸ = 2¹ => x⁸ = 2, logo, a alternativa correta é 2