Question 3
LogarithmsIf log810 = x, evaluate log85 in terms of x.
- A.½x
- B.x − ¼
- C.x − ⅓
- D.x − ½
Show the answer and explanation
Answer: C (x − ⅓)
Explanation
log₈5 = log₈(10/2) = log₈10 − log₈2. Since 8^(1/3) = 2, log₈2 = 1/3, so log₈5 = x − 1/3.
If log810 = x, evaluate log85 in terms of x.
Answer: C (x − ⅓)
log₈5 = log₈(10/2) = log₈10 − log₈2. Since 8^(1/3) = 2, log₈2 = 1/3, so log₈5 = x − 1/3.