SOLUTION: log (9x - 24) - log (x-4) = 1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log (9x - 24) - log (x-4) = 1      Log On


   

Question 432928: log (9x - 24) - log (x-4) = 1
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
log%289x-24%29+-+log%28x-4%29+=+1
<==> log%28%289x+-+24%29%2F%28x-4%29%29+=+1
<==> %289x+-+24%29%2F%28x-4%29+=+10%5E1+=+10
==> 9x - 24 = 10(x-4), assuming x%3C%3E4.
==> 9x - 24 = 10x - 40
or x = 16. This x-value satisfies the original equation, hence is the final answer.