Given That Log 8 5 = 0 $\log 8 \left( \frac { 5 } { 11 } \right)$

question 83

Short Answer

Given that log 8 5 = 0.7740 and log 8 11 = 1.1531, evaluate the expression $\log 8 \left( \frac { 5 } { 11 } \right)$ by using properties: For positive real numbers b , r and s , where b $\neq$ 1, and for any real number p , $\log b^{ r s} = \log b^ r + \log b ^s$ $\log b \frac { r } { s } = \log b r - \log b s$ $\log b r ^ { p } = p ( \log b r )$ Please give the answer to four decimal places.

---

Definitions:

Ivory

Hard, white material made from elephant tusks and used for carving and making various objects.

Commercial Value

The monetary or exchange value that a good or service has in the marketplace.

Elephant

A large mammal with a long trunk and tusks, known for its intelligence and social behavior, native to Africa and Asia.

Beef

The meat from cattle, regarded as a staple protein source in many cultures around the world.