Asked by Kasey
Solve the equation and check your solutions. Note any extraneous answers.
log(3x-13)=2 - log x
log(3x-13)=2 - log x
Answers
Answered by
Steve
assuming base 10,
log(3x-13) = log100 - logx
log(3x-13) = log(100/x)
3x-13 = 100/x
3x^2 - 13x - 100 = 0
(3x-25)(x+4) = 0
x = 25/3, since x = -4 is not allowed.
log(3x-13) = log100 - logx
log(3x-13) = log(100/x)
3x-13 = 100/x
3x^2 - 13x - 100 = 0
(3x-25)(x+4) = 0
x = 25/3, since x = -4 is not allowed.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.