If log 2=0.3010, and log 3=0.4771 then log 150=

Question

If log 2=0.3010, and log 3=0.4771 then log 150= (A) 2.1761 (B) 2.8751 (C) 2.5762 (D) 2.6126

Tardigrade Admin · Accepted Answer

(i) Express as product of powers of 2 and 3 then use the values of log 2 and log 3. (ii) log 150=2 log 5+ log 2+ log 3. (iii) Also, log 5= log 10- log 2.

Q. If $lo g 2 = 0.3010$ , and $lo g 3 = 0.4771$ then $lo g 150 =$

2.1761

2.8751

2.5762

2.6126

(i) Express as product of powers of 2 and 3 then use the values of $lo g 2$ and $lo g 3$ .
(ii) $lo g 150 = 2 lo g 5 + lo g 2 + lo g 3$ .
(iii) Also, $lo g 5 = lo g 10 - lo g 2$ .

Q. If log2=0.3010, and log3=0.4771 then log150=