Use change of base theorem to evaluate $\log _ { \frac { 1 } { 4 } } 12$ . Round the answer to four decimal places.
A) $- 0.5579$
B) $- 1.7925$
C) 0.7925
D) -0.4421

Question

Quizplus · Accepted Answer

The change of base formula is $\log_b a = \frac{\log_c a}{\log_c b}$. Using base 10, $\log _ { \frac { 1 } { 4 } } 12 = \frac{\log_{10} 12}{\log_{10} \frac{1}{4}}$. Calculating this gives $- 1.7925$.

Use Change of Base Theorem to Evaluate log⁡1412\log _ { \frac { 1 } { 4 } } 12log41​​12

Use Change of Base Theorem to Evaluate $\log _ { \frac { 1 } { 4 } } 12$