Home » If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

If Log₁₀2 = 0.3010 and Log₁₀3 = 0.4771, evaluate Log₁₀4.5

A.
0.9542
B.
0.6532
C.
0.4771
D.
0.3010

Correct Answer: Option B

Explanation

Log₁₀2 = 0.3010 and Log₁₀3 = 0.4771
Log₁₀4.5 = Log₁₀4¹/₂
= Log₁₀⁹/₂
= Log₁₀9 – Log₁₀2
= log₁₀3² – Log₁₀2
= 2Log₁₀3 – Log₁₀2
= 2(0.4771) – 0.3010
= 0.9542 – 0.3010
= 0.6532