Provide an appropriate response.
-If $\log _ { 10 } 2 = 0.3010$ and $\log _ { 10 } 3 = 0.4771$, find the value of $\log _ { 10 } \frac { 27 } { 4 }$.
A) $0.8293$
B) $0.2549$
C) $1.8572$
D) $0.0512$

Question

Quizplus · Accepted Answer

Using the given logarithm values, $\log _ { 10 } \frac { 27 } { 4 } = \log _ { 10 } (3^3) - \log _ { 10 } (2^2) = 3\log _ { 10 } 3 - 2\log _ { 10 } 2 = 3(0.4771) - 2(0.3010) = 1.4313 - 0.6020 = 0.8293.$

Provide an Appropriate Response log⁡102=0.3010\log _ { 10 } 2 = 0.3010log10​2=0.3010

Provide an Appropriate Response $\log _ { 10 } 2 = 0.3010$