Answer:
Given the expression: log 2 -log 6
Use the logarithmic rule :
[tex]\log(\frac{m}{n}) = \log m - \log n[/tex]
[tex]\log x^n = n\log x[/tex]
Use the above rule to solve the expression:
[tex]\log 2 -\log 6 = \log \frac{2}{6} = \log \frac{1}{3}[/tex] [∴[tex]\log(\frac{m}{n}) = \log m - \log n[/tex] ]
or
[tex]\log 2 -\log 6 =\log 2+ \log 6^{-1} = \log 2 + \log \frac{1}{6}[/tex] [∴[tex]\log x^n = n\log x[/tex] ]
or
value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472
