Using the Quotient Rule of Logarithms, the Product Rule of Logarithms, and the Power Rule of Logarithms, how can log (x^2/5y) be fully expanded? (1 point)

Answer 1

To expand log(x^2/5y), we first use the quotient rule of logarithms:

log(x^2/5y) = log(x^2) - log(5y)

Next, we use the power rule of logarithms to expand log(x^2) further:

log(x^2) = 2*log(x)

Putting everything together, we have:

log(x^2/5y) = 2*log(x) - log(5) - log(y)