Question

o valor correto da expressão numérica E= 2-(log 0,001)^ 2/3+log 100000

Answer 1

$\mathsf{E = 2-(log~0,001)^\frac{2}{3}+log~100000}\\ \\ \mathsf{E = 2-\frac{2}{3}\cdot (log~0,001)+log~100000}\\ \\ \mathsf{E = 2-\frac{2}{3}\cdot (log~10^{-3})+log~100000}\\ \\ \mathsf{E = 2-[-3\cdot\frac{2}{3}\cdot (log~10)]+log~10^5}\\ \\ \mathsf{E = 2+2\cdot log~10+5\cdot log~10}\\ \\ \mathsf{E = 2+7\cdot log~10}\\ \\ \mathsf{E=2+7\cdot1}\\ \\ \mathsf{E=2+7}\\ \\ \boxed{\mathsf{E=9}}$