Solving Tricky Exponential Equations: Help Needed | 9^(x^2+1)=(27)^x (3)^2x

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Homework Help Overview

The discussion revolves around solving an exponential equation of the form 9^(x^2+1)=(27)^x (3)^2x, which involves manipulating bases and exponents. The subject area is primarily focused on exponential functions and algebraic manipulation.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to change the bases to 3 for simplification but questions the next steps after reaching a certain point in their calculations. Some participants clarify the base conversion and express uncertainty about the correctness of the original poster's conclusions.

Discussion Status

There is ongoing clarification regarding the base conversion, with some participants affirming the correctness of the answers provided by the original poster. However, the discussion includes questions about the validity of these answers, indicating a lack of explicit consensus.

Contextual Notes

Participants reference external resources, such as videos, which may influence their understanding or approach to the problem. There is a mix of informal conversation alongside the mathematical discussion.

aisha
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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.
 
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9^(x^2+1) to (3^2)^(x^2+1), not (3^3)^(x^2+1) :smile:
 
ascky said:
9^(x^2+1) to (3^2)^(x^2+1), not (3^3)^(x^2+1) :smile:

Thanks I think I got the answer x=1/2 or x=2
 
so are my answers for x right or wrong?
 
They're right
 
Aisha... did you ever go watch the video I sent you ?
the link?
 
Tom McCurdy said:
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.
 
Gokul43201 said:
They're right
THANKS GOKU
 

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