Question

calcule a) log 100; b)log 0,00001; c) log 0,001 d) log 10 000 000

Answer 1

a)

$log_{10}(100) = log_{10}(10^2) = 2log_{10}(10)\\ como\; log_{10}(10) = 1\\ log_{10}(100) = 2$

b)

$log_{10}(0.00001) = log_{10}(10^{-5}) = -5log_{10}(10) = -5$

c)

$log_{10}(0.001) = log_{10}(10^{-3}) = -3log_{10}(10) = -3$

d)

$log_{10}(10000000) = log_{10}(10^{7}) = 7log_{10}(10) = 7$