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Mathematics

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

Logarithms

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Answer

Simplifying the expression,

⇒ log 4.5

⇒ log $\dfrac{45}{10}$

⇒ log $\dfrac{9}{2}$

⇒ log 9 - log 2

⇒ log 3² - log 2

⇒ 2 log 3 - log 2.

Hence, log 4.5 = 2 log 3 - log 2.

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