SOLUTION: Solve: ln x^2 − ln 2 = ln (3x − 4)

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Question 915091: Solve: ln x^2 − ln 2 = ln (3x − 4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+ln+%28x%5E2%29+-+ln+%282%29+=+ln+%283x-+4%29+

+ln+%28x%5E2%2F2%29++=+ln+%283x-+4%29 if ln same, then

x%5E2%2F2++=+3x-+4 ..........solve for x

x%5E2++=+2%2A3x-+2%2A4

x%5E2++=+6x-+8

x%5E2+-6x%2B8=0 .....write -6x as -2x-4x

x%5E2+-2x-4x%2B8=0 ...group

%28x%5E2+-2x%29-%284x-8%29=0

x%28x+-2%29-4%28x-2%29=0
%28x-4%29%28x-2%29=0

solutions:
if x-4=0 => x=4
if x-2=0 => x=2