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Logarithms, SMB-003

Solve the equation  `2 log_3(5)-log_3 (2) + log_3 (x) = 2`  for  `x.`  (2 marks)

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`18/25`

Show Worked Solution
`log_3 (5)^2-log_3 (2) + log_3 (x)` `= 2`
`log_3 (25x)-log_3 (2)` `=2`
`log_3 ((25 x)/2)` `= 2`
`(25x)/2` `= 3^2`
`:. x` `= 18/25`

Filed Under: Logarithms Tagged With: num-title-ct-patha, smc-4243-10-Product/Quotient rules

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