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Question
Solve for x :
`log 225/log15` = log x
Sum
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Solution
⇒ log x = ` (log 225 ) / (log15 )`
⇒ log x = ` ( log 15 xx 15 ) / ( log 15 ) `
⇒ log x = ` ( log 15 ^ 2 ) / ( log 15 ) `
⇒ log x = ` ( 2 log 15 ) / ( log 15 ) ` .... [ n loga m = loga mn ]
⇒ log x = 2
⇒ log10 x = 2
⇒102 = x
⇒ x = 10 x 10
⇒ x = 100.
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Laws of Logarithm
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