Question

Choose the properties that you would use in considering the following logarithmic expression

Answer 1

Looking at the expression, both logarithms are in the same base (base 10)

Also, we have a subtraction of logarithms, so we can use the quotient rule:

$\log a-\log b=\log (\frac{a}{b})$

Also, the logarithms are multiplied by a constant, so we can use the power rule:

$a\cdot\log b=\log b^a$

So the correct options are C and D.

(Since there is no "equal" symbol in the expression, we can't solve it or use the equality rule)