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

[Mphisto]

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!

 

[AlchemistK]

Are you sure breaking down 7^x^2 is the only way?
Try cross multiplying it to the other side and observe.

 

[Mphisto]

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!

 

[Mark44]

Homework Statement

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

Is the numerator supposed to be 7^{2x + 3} or 7^2x + 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.

Homework Equations

The Attempt at a Solution

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

 

[checkitagain]

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

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

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

if you mean $7^{x^2}.$

 

[Mphisto]

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

if you mean $7^{x^2}.$

Yeah, I meant that