If Log

_{10}2 = 0.3010 and Log_{10}3 = 0.4771, evaluate Log_{10}4.5-
**A.**

0.9542 -
**B.**

0.6532 -
**C.**

0.4771 -
**D.**

0.3010

##### Correct Answer: Option B

##### Explanation

Log_{10}2 = 0.3010 and Log_{10}3 = 0.4771

Log_{10}4.5 = Log_{10}4^{1}/_{2}

= Log_{10}^{9}/_{2}

= Log_{10}9 – Log_{10}2

= log_{10}3^{2} – Log_{10}2

= 2Log_{10}3 – Log_{10}2

= 2(0.4771) – 0.3010

= 0.9542 – 0.3010

= 0.6532