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Question
If log (a + b) = log a + log b, find a in terms of b.
Solution
log ( a + b ) = log a + log b
⇒ log ( a + b ) = log ab
⇒ a + b= ab
⇒ a - ab = - b
⇒ - ab + a = - b
⇒ - a ( b - 1 ) = - b
⇒ a ( b -1 ) = b
⇒ a = ` ( b ) / ( b - 1) `
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