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Question
Evaluate : log38 ÷ log916
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Solution
log38 ÷ log916
⇒ ` ( log_3 8) / ( log_ 9 16 )`
⇒ ` ( log_10 8) / ( log_ 10 3 )` × ` ( log_10 9) / ( log_ 10 16 )`
⇒ ` ( 3log_10 2) / ( log_ 10 3 )` × ` ( 2log_10 3) / ( 4log_ 10 2 )`
⇒ ` 3 /2`
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