Find the value. Give an approximation to four decimal places.
-$\log \left( 6.52 \times 10 ^ { 3 } \right)$
A) $0.8142$
B) $- 2.1858$
C) $3.8142$
D) $3.0028$

Question

Quizplus · Accepted Answer

The logarithm of a number in scientific notation, $\log(6.52 \times 10^3)$, can be simplified using the logarithm property $\log(ab) = \log(a) + \log(b)$. Thus, it becomes $\log(6.52) + \log(10^3)$. The logarithm of $10^3$ is 3 because the base of the logarithm is 10. The logarithm of 6.52 is approximately 0.8142. Adding these values gives $3 + 0.8142 = 3.8142$.

Find the Value log⁡(6.52×103)\log \left( 6.52 \times 10 ^ { 3 } \right)log(6.52×103)

Find the Value $\log \left( 6.52 \times 10 ^ { 3 } \right)$