Find the exact value of $\log _ { 4 } 44 - \log _ { 4 } 11$ without using a calculator.
A)1
B)4
C)11
D) $\frac { 11 } { 2 }$
E) $\frac { 1 } { 2 }$

Name: Find the exact value of $\log _ { 4 } 44 - \log _ { 4 } 11$ without using a calculator. A)1 B)4 C)11 D) $\frac { 11 } { 2 }$ E) $\frac { 1 } { 2 }$
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Quizplus · Accepted Answer

Using the logarithm property $\log_b(x) - \log_b(y) = \log_b(\frac{x}{y})$, we get $\log_4(44) - \log_4(11) = \log_4(\frac{44}{11}) = \log_4(4) = 1$.

Find the Exact Value Of log⁡444−log⁡411\log _ { 4 } 44 - \log _ { 4 } 11log4​44−log4​11

Find the Exact Value Of $\log _ { 4 } 44 - \log _ { 4 } 11$