Question

Which expressions are equivalent to the one below? Check all that apply.log 2 - log 6

Answer 1

Answer:

Given the expression: log 2 -log 6

Use the logarithmic rule :

$\log(\frac{m}{n}) = \log m - \log n$

$\log x^n = n\log x$

Use the above rule to solve the expression:

$\log 2 -\log 6 = \log \frac{2}{6} = \log \frac{1}{3}$   [∴$\log(\frac{m}{n}) = \log m - \log n$ ]

or

$\log 2 -\log 6 =\log 2+ \log 6^{-1} = \log 2 + \log \frac{1}{6}$     [∴$\log x^n = n\log x$ ]

or

value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472

Answer 2

There are no correct expressions listed.

Log(2) - log(6) is equivalent to

log(1/3)
or
-log(3)
or
-0.47712...
or
any one of a bunch of others.