Find the value. Give an approximation to four decimal places.
-$\log \left( 7.75 \times 10 ^ { 4 } \right)$
A) $4.8893$
B) $- 3.1107$
C) $0.8893$
D) $4.0003$

Question

Quizplus · Accepted Answer

The logarithm of a number in scientific notation, $\log(7.75 \times 10^4)$, can be simplified as $\log(7.75) + \log(10^4)$. Since $\log(10^4) = 4$ (because the base of the logarithm is 10) and $\log(7.75)$ is approximately 0.8893, adding these together gives $4 + 0.8893 = 4.8893$.

Find the Value log⁡(7.75×104)\log \left( 7.75 \times 10 ^ { 4 } \right)log(7.75×104)

Find the Value $\log \left( 7.75 \times 10 ^ { 4 } \right)$