Question

Solve the following equation:

Answer 1

\[3^{2x+1} -26(3^x) - 9 = 0\]

I have no idea where to start, could you please provide some hints?

Thanks in advance!

Answer 2

do u want answer in terms of x or want to simplify it?

Answer 3

Let \(3^x = t\)

Answer 4

as ganeshie said but before line up the variables so everything clear like this

Answer 5

\[-9-26 \times 3^{x}+3^{2x+1}=0\]

Answer 6

\[-9-26 \times 3^{x}+3(3^{x})^{2}\]

Answer 7

\[3t ^{2}-26t-9=0\]

Answer 8

then factorise it

Answer 9

@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?

Answer 10

yes the answer is 2

Answer 11

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

Answer 12

\[(t-9)(3t+1)=0\]

Answer 13

split this into two eq

Answer 14

\[t-9=0 , 3y+1=0\]

Answer 15

now from t-9=0 -> t=9

Answer 16

sub back the t value

Answer 17

\[3^{x}=9\]

Answer 18

English plz xD (I dont needa know this stuff I'm just looking at wat u guys r doing)

Answer 19

\[3^{2}=9\]

Answer 20

\[3^{x}=3^{2}\]

Answer 21

and for the other eq 3y-1=0 -> y=-1/3 has no solution

Answer 22

so x=2

Answer 23

ah yes of course, I'm so stupid. X.X - I forgot to convert the "t" back to the 3x^2

Answer 24

thats ok hope it helps :)

Answer 25

Thank's ayeshaa, I had some other problems with the same line of thought, I'll be able to solve them now. ;u;

Answer 26

Thank you! I'm closing the board now.