SOLUTION: Solve for x: log (5x+ 6) = log (x-3) Please show me how you did it too. Thank you

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Question 1130363: Solve for x:
log (5x+ 6) = log (x-3)
Please show me how you did it too. Thank you

Found 4 solutions by josgarithmetic, MathLover1, MathTherapy, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
You would expect that should mean that .
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

-> if log and base same, we have





Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Solve for x:
log (5x+ 6) = log (x-3)
Please show me how you did it too. Thank you
Correct answer:  

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Both tutor @mathlover1 and tutor @josgarithmetic pointed out that if log(A) = log(B), then it should be true that A=B. They both overlooked that fact that A must be equal to B IF A SOLUTION EXISTS.

Tutor @maththerapy is right; there is no solution. That is because when you set A=B in this equation, you get x = -9/4. Then the equation says

log(-21/4) = log(-21/4)

But logs of negative numbers do not exist.

So, as tutor @maththerapy says: NO SOLUTION

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