SOLUTION: 10. Solve the following logarithm equation. Please show all of your work.
log(3x) = log4 + log(x – 1)
please help!
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Question 469364: 10. Solve the following logarithm equation. Please show all of your work.
log(3x) = log4 + log(x – 1)
please help!
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Use following log property
Therefore
Since its the same log, you can conclude that it is equivalent to the equation:
**Note: Suppose you prove a = b, then log a = log b is proven as well **
Now distribute right side
Subtract 4x on both sides
Flip the signs
Verify by substituting 4 in for x
True statement, therefore solution x = 4 is correct
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