Question

Which of the following options correctly rewrites log4(x/5) using the Quotient Rule of Logarithms?(1 point) Responses log4x+log45 the log base 4 of x plus the log base 4 of 5 log4x−log45 the log base 4 of x minus the log base 4 of 5 log4xlog45

Answer 1

The Quotient Rule of Logarithms states that \(\log_b\left(\frac{M}{N}\right) = \log_b(M) - \log_b(N)\).

Using this rule, we can rewrite \(\log_4\left(\frac{x}{5}\right)\) as:

\[
\log_4(x) - \log_4(5)
\]

So the correct option is:

**log4(x) - log4(5)** (the log base 4 of x minus the log base 4 of 5).