Jadedry
  • Jadedry
Solve the following equation:
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Jadedry
  • Jadedry
\[3^{2x+1} -26(3^x) - 9 = 0\] I have no idea where to start, could you please provide some hints? Thanks in advance!
anonymous
  • anonymous
do u want answer in terms of x or want to simplify it?
ganeshie8
  • ganeshie8
Let \(3^x = t\)

Looking for something else?

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

More answers

anonymous
  • anonymous
as ganeshie said but before line up the variables so everything clear like this
anonymous
  • anonymous
\[-9-26 \times 3^{x}+3^{2x+1}=0\]
anonymous
  • anonymous
\[-9-26 \times 3^{x}+3(3^{x})^{2}\]
anonymous
  • anonymous
\[3t ^{2}-26t-9=0\]
anonymous
  • anonymous
then factorise it
Jadedry
  • Jadedry
@ayeshaafzal221 I believe I'm supposed to solve for X, I got the same equation you did, but my textbook says that the answer is 2?
anonymous
  • anonymous
yes the answer is 2
anonymous
  • anonymous
This is why math makes no sense... I read the equation, i caught on for the next part, then all that sht fell apart in my head
anonymous
  • anonymous
\[(t-9)(3t+1)=0\]
anonymous
  • anonymous
split this into two eq
anonymous
  • anonymous
\[t-9=0 , 3y+1=0\]
anonymous
  • anonymous
now from t-9=0 -> t=9
anonymous
  • anonymous
sub back the t value
anonymous
  • anonymous
\[3^{x}=9\]
anonymous
  • anonymous
English plz xD (I dont needa know this stuff I'm just looking at wat u guys r doing)
anonymous
  • anonymous
\[3^{2}=9\]
anonymous
  • anonymous
\[3^{x}=3^{2}\]
anonymous
  • anonymous
and for the other eq 3y-1=0 -> y=-1/3 has no solution
anonymous
  • anonymous
so x=2
Jadedry
  • Jadedry
ah yes of course, I'm so stupid. X.X - I forgot to convert the "t" back to the 3x^2
anonymous
  • anonymous
thats ok hope it helps :)
Jadedry
  • Jadedry
Thank's ayeshaa, I had some other problems with the same line of thought, I'll be able to solve them now. ;u;
Jadedry
  • Jadedry
Thank you! I'm closing the board now.

Looking for something else?

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