Question

Considerando log 2 = 0,3 , o valor de log 0,025 é

Answer 1

$\log(0.025)=\\\\\log\left(\dfrac{25}{1000}\right)=\\\\\log(25)-\log(1000)=\\\\\log(5^2)-\log(10^3)=\\\\2\log(5)-3\log(10)=\\\\2\log\left(\dfrac{10}{2}\right)-3(1)=\\\\2(\log(10)-\log(2))-3=\\\\2(1-0.3)-3=\\\\2(0.7)-3=\\\\1.4-3=\\\\\boxed{1.6}$