Question

8 elevado a x igual a 16?
${8}^{x} = 16$
​

Answer 1

Resposta:

$\boxed{\mathtt{4/3}}$

Explicação passo-a-passo:

Da definição de Logaritmos, temos:

$\\ \displaystyle \mathsf{8^x = 16} \\\\ \mathsf{\log_8 16 = x} \\\\ \mathsf{x = \log_{2^3} {2^4}} \\\\ \mathsf{x = \frac{1}{3} \cdot 4 \cdot \log_2 2} \\\\ \mathsf{x = \frac{4}{3} \cdot 1} \\\\ \boxed{\boxed{\mathsf{x = \frac{4}{3}}}}$