Use the change of base rule to find the logarithm to four decimal places.
-$\log _ { 3 } 0.681$
A) $- 2.8595$
B) $4.4053$
C) $- 0.3497$
D) $- 0.1669$

Question

Quizplus · Accepted Answer

The change of base formula allows us to convert $\log _ { 3 } 0.681$ into a more easily calculable form, such as $\log _ { 10 } 0.681 / \log _ { 10 } 3$. Using a calculator, this gives approximately $-0.3497$, which matches option C.

Use the Change of Base Rule to Find the Logarithm log⁡30.681\log _ { 3 } 0.681log3​0.681

Use the Change of Base Rule to Find the Logarithm $\log _ { 3 } 0.681$