Solving 9^(x^2+1)=(27)^x(3)^(2x) by converting to base 3

[aisha]

Tricky Need practice Help please

I don't understand these problems well I do but not these ones 9^(x^2+1)=(27)^x (3)^2x
What I have done is changed all the bases to 3 so (3^3)^(x^2+1)=(3^3) (3)^2x but I don't know what to do next I tried solving for x after simplifying the above and got to the point where the exponents simplify to x^2+3=0 not sure if this is right someone please help me these are exercise problems.

 

[ascky]

9^(x^2+1) to (3^2)^(x^2+1), not (3^3)^(x^2+1)

 

[aisha]

9^(x^2+1) to (3^2)^(x^2+1), not (3^3)^(x^2+1)

Thanks I think I got the answer x=1/2 or x=2

 

[aisha]

so are my answers for x right or wrong?

 

[Gokul43201]

They're right

 

[Tom McCurdy]

Aisha... did you ever go watch the video I sent you ?
the link?

 

[aisha]

Aisha... did you ever go watch the video I sent you ?
the link?

YEH IT WAS DISGUSTING, but that guy is only singing to this song that this real famous arabic singer sang, CHEB KHALID the song was called aisha and was in arabic and french but that skinny dude was scary lol.

 

[aisha]

They're right

THANKS GOKU