SOLUTION: what is the value of x? please explain by showing work
2 - Log 3x = Log (x/12) + 2
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Question 575448: what is the value of x? please explain by showing work
2 - Log 3x = Log (x/12) + 2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \log\left(\frac{x}{12}\right)\ +\ 2)
Add 
to both sides and add )
to both sides:
\ +\ \log\left(3x\right)\ =\ 0)
The sum of the logs is the log of the product:
\ =\ 0)
But
\ =\ 0)
and
\ =\ \log_b(\beta)\ \Leftrightarrow\ \alpha\ =\ \beta)
so
Solve the quadratic, but discard the negative root because the domain of the log function is the positive Reals.
John
My calculator said it, I believe it, that settles it
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