Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.
-$$\log _ { 4 } 40 - \log _ { 4 } 10$$
A) 4
B) 10
C) 40
D) 1

Name: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator. -\[\log _ { 4 } 40 - \log _ { 4 } 10\] A) 4 B) 10 C) 40 D) 1
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Question

Quizplus · Accepted Answer

The properties of logarithms allow us to combine the two terms: $\log_4 40 - \log_4 10 = \log_4 \frac{40}{10} = \log_4 4$. Since $\log_4 4 = 1$, the answer is D.

Use the Properties of Logarithms to Find the Exact Value log⁡440−log⁡410\log _ { 4 } 40 - \log _ { 4 } 10log4​40−log4​10

Use the Properties of Logarithms to Find the Exact Value $\log _ { 4 } 40 - \log _ { 4 } 10$