Express in terms of log 2 and log 3 : log75/16 - 2log5/9 + log32/243

Question

KnowledgeBoat · Accepted Answer

Simplifying the expression, ⇒ (log 75 - log 16) - 2 (log 5 - log 9) + (log 32 - log 243) ⇒ log 75 - log 16 - 2 log 5 + 2 log 9 + log 32 - log 243 ⇒ log 75 - log 16 - log 5² + log 9² + log 32 - log 243 ⇒ log 75 - log 16 - log 25 + log 81 + log 32 - log 243 ⇒ log 75 + log 81 + log 32 - log 16 - log 25 - log 243 ⇒ log 75 + log 81 + log 32 - (log 16 + log 25 + log 243) ⇒ log (75 × 81 × 32) - log (16 × 25 × 243) ⇒ log ⇒ log 2. Hence, = log 2.

Mathematics

Express in terms of log 2 and log 3 : log75/16 - 2log5/9 + log32/243

Logarithms

Related Questions

Express in terms of log 2 and log 3 :
log 4.5

Express the following in a form free from logarithm :
2 log x - log y = 1

Express the following in a form free from logarithm :
2 log x + 3 log y = log a

Mathematics

Express in terms of log 2 and log 3 : log75/16 - 2log5/9 + log32/243

Logarithms

Related Questions

Express in terms of log 2 and log 3 :log 4.5

Express the following in a form free from logarithm :2 log x - log y = 1

Express the following in a form free from logarithm :2 log x + 3 log y = log a

Express in terms of log 2 and log 3 :
log 4.5

Express the following in a form free from logarithm :
2 log x - log y = 1

Express the following in a form free from logarithm :
2 log x + 3 log y = log a