Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.
-$$\log _ { 4 } 24 - \log _ { 4 } 6$$
A) 24
B) 4
C) 1
D) 6

Question

Quizplus · Accepted Answer

The properties of logarithms allow us to combine the two terms: $\log_4 24 - \log_4 6 = \log_4 \left(\frac{24}{6}\right) = \log_4 4$. Since $\log_b b = 1$ for any base $b$, $\log_4 4 = 1$.

Use the Properties of Logarithms to Find the Exact Value log⁡424−log⁡46\log _ { 4 } 24 - \log _ { 4 } 6log4​24−log4​6

Use the Properties of Logarithms to Find the Exact Value $\log _ { 4 } 24 - \log _ { 4 } 6$