Solve 7^2x+3=7^x^2: Step-by-Step Guide

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AI Thread Summary
The equation 7^(2x+3) / 7^(x^2) = 1 can be solved by cross-multiplying or rewriting the terms for clarity. It's important to express the exponent correctly, using 7^(x^2) to avoid confusion. Participants discussed the correct interpretation of the numerator, confirming it should be 7^(2x + 3). After some guidance, one user successfully solved the equation. Clear notation is essential for solving exponential equations effectively.
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Homework Statement


Solve the equation
7^2x+3 / 7^x^2 = 1

Homework Equations





The Attempt at a Solution



How can i "breakdown" 7^x^2? Thank you!
 
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Are you sure breaking down 7^x^2 is the only way?
Try cross multiplying it to the other side and observe.
 
AlchemistK said:
Are you sure breaking down 7^x^2 is the only way?
Try cross multiplying it to the other side and observe.

Oh I got it! I managed to solve it =) thanks!
 
Mphisto said:

Homework Statement


Solve the equation
7^2x+3 / 7^x^2 = 1
Is the numerator supposed to be 72x + 3 or 72x + 3 or 72x + 3?

I suspect that it's the first. If that's what you meant, write it as 7^(2x + 3) so that it is unambiguous.
Mphisto said:

Homework Equations





The Attempt at a Solution



How can i "breakdown" 7^x^2? Thank you!
 
Mphisto said:
Solve the equation
7^2x+3 / 7^x^2 = 1

.
.
.

How can i "breakdown" 7^x^2? Thank you!

And, to be unambiguous, type "7^(x^2)"

if you mean 7^{x^2}.
 
checkitagain said:
And, to be unambiguous, type "7^(x^2)"

if you mean 7^{x^2}.

Yeah, I meant that
 

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