5.4 Equations Involving Logarithms

METHOD:
  1. For two logarithms of the same base, if log a m = log a n , then m = n
  2. Convert to index form, if log a m = n , then m = an.


Example 1
Solve the following equation:
(a) log 3 2 + log 3 ( x + 5 ) = log 3 ( 3 x 1 )
(b) log 2 8 x 3 = log 2 ( 2 x 1 )
(c) 3 log x 2 + 2 log x 4 log x 256 = 1