Use the change-of-base and a calculator to approximate the logarithm to 4 decimal places.
-$$\log _ { 8 } \left( 7.32 \cdot 10 ^ { - 7 } \right)$$
A) $- 6.7939$
B) $- 6.1355$
C) $- 0.1472$
D) $- 1.7659$

Question

Quizplus · Accepted Answer

Using the change-of-base formula, $\log _ { 8 } ( 7.32 \cdot 10 ^ { - 7 } )$ can be converted to $\frac{\log ( 7.32 \cdot 10 ^ { - 7 } )}{\log ( 8 )}$. Using a calculator to evaluate this expression gives approximately $-6.7939$.

Use the Change-Of-Base and a Calculator to Approximate the Logarithm log⁡8(7.32⋅10−7)\log _ { 8 } \left( 7.32 \cdot 10 ^ { - 7 } \right)log8​(7.32⋅10−7)

Use the Change-Of-Base and a Calculator to Approximate the Logarithm $\log _ { 8 } \left( 7.32 \cdot 10 ^ { - 7 } \right)$