If log 2 = 0.3010, find the value of ( log (75/16) − 2 log (5/9) + log (32/243) ).

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log 75 - log 16 - 2 (log 5 - log 9) + log 32 - log 243 ⇒ log (25 × 3) - log 16 - 2 (log 5 - log 9) + log 25 - log 35 ⇒ log 25 + log 3 - log 24 - 2log 5 + 2log 9 + 5log 2 - 5log 3 ⇒ log 25 + log 3 - 4log 2 - log 52 + 2log 32 + 5log 2 - 5log 3 ⇒ log 25 + log 3 - 4log 2 - log 25 + 4log 3 + 5log 2 - 5log 3 ⇒ log 25 - log 25 - 4log 2 + 5log 2 + log 3 + 4log 3 - 5log 3 ⇒ log 2 + log 3 + 5log 3 - 5log 3 ⇒ log 2 ⇒ 0.3010 Hence, = 0.3010.

Mathematics

If log 2 = 0.3010, find the value of ( log (75/16) − 2 log (5/9) + log (32/243) ).

Logarithms

Related Questions

If log 27 = 1.4313, find the value of :
(i) log 9
(ii) log 30

Mathematics

If log 2 = 0.3010, find the value of ( log (75/16) − 2 log (5/9) + log (32/243) ).

Logarithms

Related Questions

If log 27 = 1.4313, find the value of :(i) log 9(ii) log 30

If log 27 = 1.4313, find the value of :
(i) log 9
(ii) log 30