Answer:
- 3.5229
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
[tex]log_{10}[/tex] [tex]10^{n}[/tex] = n
Given
[tex]log_{10}[/tex] 3 ≈ 0.4771, then
[tex]log_{10}[/tex] 0.0003
= [tex]log_{10}[/tex] (3 × [tex]10^{-4}[/tex] )
= [tex]log_{10}[/tex] 3 + [tex]log_{10}[/tex] [tex]10^{-4}[/tex]
≈ 0.4771 - 4
≈ - 3.5229 ( to 4 dec. places )