Question

Use the quotient rule of logarithms to write an expanded expression equivalent to log2(2x / (1x - 5)). Make sure to use parentheses around your logarithm functions log(x y).

Answer 1

To expand log2(2x / (1x - 5)), we use the quotient rule of logarithms to express it as the difference of two logarithms: log2(2x) - log2(1x - 5).

Step-by-step explanation:

The student is asking to expand the expression log2(2x / (1x - 5)) using the quotient rule of logarithms. According to the quotient rule, the logarithm of a quotient is the difference of the logarithms. So we can write the given expression as log2(2x) - log2(1x - 5). Note that we also have the product rule of logarithms at our disposal, but it is not needed for this particular expression.