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Question
Solve for x : ` (log 64)/(log 8)` = log x
Solution
⇒ ` (log 64)/(log 8) ` = log x
⇒ log x = ` (log 64)/( log 8) `
⇒ log x = ` ( log 2 xx 2xx 2xx 2xx 2xx 2 ) / ( log 2xx 2xx 2 ) `
⇒ log x =` ( log 2^6 ) / ( log 2^3 ) `
⇒ log x = ` ( 6 log 2) / ( 3 log 2 ) ` ... [ n loga m = loga mn ]
⇒ log x = ` ( 6) / (3) `
⇒ log x = 2
⇒ log10 x = 2
⇒ 102 = x
⇒ x = 10 x 10
⇒ x = 100
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