Can someone ask me some exponential equations where you change to quadratic (1 Viewer)

[CurdleRocket26]

Ye just test me on those questions pls

 

[A1La5]

Found from the internet:

 

[CurdleRocket26]

Found from the internet:


View attachment 29918

Ok here is the solution

 

[quickoats]

The questions like 4^x + 6^x = 9^x (which is what I'm assuming you're referring to) can't be solved unless there's a convenient trick (like the quadratic one).

Similar questions might be 4^x + 10^x = 25^x etc but you probably couldn't algebraically find a solution to 2^x + 3^x = 7^x.

 

[CurdleRocket26]

The questions like 4^x + 6^x = 9^x (which is what I'm assuming you're referring to) can't be solved unless there's a convenient trick (like the quadratic one).

Similar questions might be 4^x + 10^x = 25^x etc but you probably couldn't algebraically find a solution to 2^x + 3^x = 7^x.

Can you check my solution

 

[A1La5]

Ok here is the solution

You don't need logarithms for this at all. It's just substitution, unless I misunderstood the particular type of question you wanted.
For the equation you attempted, the solutions are and .

 

[CurdleRocket26]

You don't need logarithms for this at all. It's just substitution, unless I misunderstood the particular type of question you wanted.
For the equation you attempted, the solutions are and .

Oh lol i made a simple mistake lol

 

[CurdleRocket26]

Can you guys ask me more pls

 

[vernburn]

Can you check my solution

You need to work on your setting out. Firstly you replace with without specifying. Furthermore, you should avoid stuff like "let ". You are better off choosing a different pronumeral to avoid confusion like "let ". You also left your answer as which doesn't make any sense! Good effort though.

 

[A1La5]

Oh lol i made a simple mistake lol

I think the kind of question you wanted is something like: e^2x - 6e^x + 5 = 0.
Yeah, my bad on that. Still though, it never hurts to revise the basics before trying more.

 

[CurdleRocket26]

You need to work on your setting out. Firstly you replace with without specifying. Furthermore, you should avoid stuff like "let ". You are better off choosing a different pronumeral to avoid confusion like "let ". You also left your answer as which doesn't make any sense! Good effort though.

I replaced it to form the quadratic

 

[Qeru]

You don't need logarithms for this at all. It's just substitution, unless I misunderstood the particular type of question you wanted.
For the equation you attempted, the solutions are and .

Over the real numbers ofcourse, more generally

 

[CurdleRocket26]

Ok someone give more questions pls'

 

[CurdleRocket26]

You need to work on your setting out. Firstly you replace with without specifying. Furthermore, you should avoid stuff like "let ". You are better off choosing a different pronumeral to avoid confusion like "let ". You also left your answer as which doesn't make any sense! Good effort though.

So should i use U instead of x

 

[A1La5]

So should i use U instead of x

It's a letter. Just use anything that isn't x.

 

[vernburn]

So should i use U instead of x

It would be better as it avoids confusion.

 

[CurdleRocket26]

It would be better as it avoids confusion.

Ok can i have. Another question pls

 

[Qeru]

Ok can i have. Another question pls

A1La5 posted two other questions?

 

[CurdleRocket26]

Ok can i have. Another question pls

Hello r u guys gonna give more

 

[CurdleRocket26]

A1La5 posted two other questions?

Where