Question

How to solve log 0.020

Answer 1

$good \: \: morning \: \\ \\ \\ some \: formula \: of \: log \\ \\ \\ 1) \: \: \: log(x {}^{n} ) = nlog(x) \\ \\2) \: \: \: log(mn) = log(m) + log(n) \\ \\ 0.020 = 2 \times 10 {}^{ - 2} \\ \\ \\ log(2 \times 10 {}^{ - 2} ) \\ \\ \\ = log(2) + log(10 {}^{ - 2} ) \\ \\ \\ \\ = log(2) - 2 log(10) \\ \\ \\ = log(2) -2 \\ \\ \\ = 0.301 - 2 \\ \\ \\ = - 1.69$