3^{x+3}-9^{2x-1}=0

what are the steps to finding the solution?

Question

3^{x+3}-9^{2x-1}=0 

what are the steps to finding the solution?

kamille · Answer

firstly, you need to change 9 to 3^2

kamille · Answer

What will you get?

anonymous · Answer

3^{x+3} = 3^2^{2x-1}=0

anonymous · Answer

ignore = 0

campbell_st · Answer

rewrite the equation in terms of base 3

and then equate the 2 terms

$$3^{x + 3}= 3^{2(2x - 1)}$$

now they are the same, just solve 

x + 3 = 2(2x -1) 

for x.

kamille · Answer

So, now you can say that x+3=2(2x+1) and you need to find x now

anonymous · Answer

how do i solve for x

kamille · Answer

x+3=4x+2 now you need to movie all numbers which have x to left, and all numbers which don't have x to the right. try it.

anonymous · Answer

cause its -1 not +1 it looks like x+3=4x+2  then 5x=-1??

kamille · Answer

Oh,sorry, my bad. 
x+3=2(2x-1)
x+3=4x-2
-3x=-5|:(-3)
x=1 2/3

anonymous · Answer

5|:(-3)???

anonymous · Answer

how does x = 12/3?

anonymous · Answer

x should equal 1.667 cause (-5)/(-3)

myininaya · Answer

He wrote it as a mixed fraction.
Also in the future, please don't post the same question twice. You should either bump or get more eyes by posting a link to your question in the math chat.
Thanks.