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 simplify the expression $\log_4 24 - \log_4 6$ as $\log_4 \frac{24}{6}$, which simplifies to $\log_4 4$. Since $\log_4 4 = 1$, the exact value of the expression is 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 $\log _ { 4 } 24 - \log _ { 4 } 6$