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Question
If log (a + 1) = log (4a - 3) - log 3; find a.
Solution
Given that
log (a + 1) = log (4a - 3) - log 3
⇒ log (a + 1) = log `( ( 4a - 3)/ ( 3 ) )`
⇒ a + 1 = ` ( 4a - 3 ) / ( 3 ) `
⇒ 3a + 3 = 4a - 3
⇒ 4a - 3a = 3 + 3
⇒ a = 6
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