anonymous
  • anonymous
solve for x: log(5)(11-6x) = log(5)(1-x)
Mathematics
chestercat
  • chestercat
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Nnesha
  • Nnesha
hint: \[\huge\rm log_b x = \log_b y\] \[\huge\rm\cancel { log_b} x = \cancel{\log_b} y\] x=y
anonymous
  • anonymous
Ohhh... X = 2 right?
anonymous
  • anonymous
Or is it no solution?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Pawanyadav
  • Pawanyadav
Is 5 it's base
Nnesha
  • Nnesha
sorry i forgot :(
anonymous
  • anonymous
Yes 5 is the base
anonymous
  • anonymous
That's ok Nnesha. Thanks for trying to help :)
Nnesha
  • Nnesha
no i'm saying i forgot i ws helping u :P
anonymous
  • anonymous
Oh hahaha
Nnesha
  • Nnesha
alright so what was your first step ?? :-)
anonymous
  • anonymous
I would cross out the bases because they are the same right?
Nnesha
  • Nnesha
yep right and then simple algebra!!! :-)
Pawanyadav
  • Pawanyadav
16-6x=1-x 15=5x x=?
Nnesha
  • Nnesha
and yes you got it right :-)
mathmate
  • mathmate
Hint: dom log(x) = (0,inf)
anonymous
  • anonymous
Oh this is a tricky no solution problem isn't it....
mathmate
  • mathmate
... because?
anonymous
  • anonymous
The base is 5 instead of 10?
mathmate
  • mathmate
not exactly. Use the hint!
anonymous
  • anonymous
Oh! I would have no 'y' value right?
Nnesha
  • Nnesha
nope when there is just log then u have to suppose 10 base
mathmate
  • mathmate
actually, the hint applies to any base, so it was not indicated.
anonymous
  • anonymous
Oh ok, so the answer would just be x = 2?
mathmate
  • mathmate
want further hint? @lehmad
anonymous
  • anonymous
yes please :p
Nnesha
  • Nnesha
i'm confused do you have to solve for x right ?
mathmate
  • mathmate
Hint: Whenever you solve an equation involving log, you need to substitute back into the equation to reject all roots that make log negative (recall dom log(x)=(0,inf) ).
mathmate
  • mathmate
@Nnesha yes, the solution x=2 is correct for the algebraic part, but not correct for the problem given!
anonymous
  • anonymous
I have to solve for the problem given @Nnesha
anonymous
  • anonymous
Oh ok, so when I plug x=2 into the final product, I get f(2) = (0,inf) which is not solvable so there is no solution
mathmate
  • mathmate
\(log_5(11-6x)=log_5(-1)\) so x=2 is not an admissible solution because log(-1) is outside the domain of log.
mathmate
  • mathmate
* -1 is outside the domain of log.
mathmate
  • mathmate
sorry, gtg. be back later if you still have questions.
anonymous
  • anonymous
I understand now! Thank you for bearing with me (haha) and helping me through all the steps!!!
mathmate
  • mathmate
You're welcome! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.