Question

Identify the error in the student solution shown below. Find the correct answer. Please show how you got your answer. I am struggling to understand this...
2In(x) = In3(x) - [ In(9) - 2In(3) ]

In(x^2) = In(3x) - [ In(9) - In(9) ]

In(x^2) = In(3x) - 0

In(x^2) = In(3x/0); division by 0, undefined

Answer 1

Since 0 in ln(3x) - 0 is not a logarithm, the  property of logarithms cannot be used here.

The difference shown cannot be written as a quotient of logarithms.

The step ln(x2) = ln(3x) - (0) reduces to  

ln(x2) = ln(3x).

The possible solutions are 0 and 3, with 0 being extraneous.

Answer 2

Since 0 in ln(3x) - 0 is not a logarithm, the  property of logarithms cannot be used here.The difference shown cannot be written as a quotient of logarithms.The step ln(x2) = ln(3x) - (0) reduces to 
ln(x2) = ln(3x).The possible solutions are 0 and 3, with 0 being extraneous.