Home » Mathematics » Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge…

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge…

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge (frac{7}{4}) is
  • A.
    0.5326
  • B.
    3.4958
  • C.
    0.4816
  • D.
    0.0142
  • E.
    1.3594
Correct Answer: Option A
Explanation

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142
then value of loge (frac{7}{4}) = loge7.7 – loge (frac{7.7}{4.4})
= loge(frac{7}{4})
= (frac{2.0142}{-1.4816})
= 0.5326