Question

Se log √a = 2,025 então o valor de log ³√a é

Answer 1

Resposta:

1,35

Explicação passo a passo:

$log\sqrt a = log\,a^{1/2} = \dfrac{1}{2}log\,a = 2,025 \Rightarrow log\,a=2\cdot2,025\\\\\therefore log\,a=4,050\\\\\\log\sqrt[3]a = log\,a^{1/3} = \dfrac{1}{3}log\,a = \dfrac{1}{3}\cdot4,050\\\\\therefore log\sqrt[3]a = 1,35$