Mathematics

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280

If log102 = 0.3010 and log107 = 0.8451, evaluate log10280
  • A.
    3.4471
  • B.
    2.4471
  • C.
    1.4471
  • D.
    1.4071
Correct Answer: Option B
Explanation

Log 2 = 0.3010, Log 7 = 0.8451
∴Log 280 = Log 28 x 10
= Log 7x4x10
=Log7 + Log4 + Log10
= Log7 + Log22 + Log10
= Log7 + 2Log2 + Log10
= 0.8451 + 2(0.3010) + 1
= 0.8451 + 0.6020 + 1
= 2.4471