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Question
Solve for x : `(log 81)/(log27 )` = x
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Solution
`(log 81)/(log27 )` = x
⇒ x = `(log81)/(log27)`
⇒ x = `(log3 xx 3 xx 3 xx 3)/( log3 xx 3 xx 3)`
⇒ x = `(log3^4)/(log3^3)`
⇒ x = `(4log3)/(3log3)` ... [ n logam = logamn ]
⇒ x= `(4)/(3)`
⇒ x = 1 `(1)/(3)`
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