An Exponential Equation | 49^x-14^x=4^x

#Shorts #algebra #equations #multiplication #maths #math #mathematics via @YouTube @Apple @Desmos @NotabilityApp @googledocs @canva

[Raj.MathsKaDar]

It is obvious

If, a^2x-(ab)^x=b^2x
Then, x = log((√5-1)/2)with base(a/b)

I Already Know That (researched)🧐🙄🤓

[pietergeerkens]

Multiplying by -1/-1, and then rationalizing the denominator of the numerator, simplifies this to
[ ln phi ] / ln (7/2).

[benjaminrodriguez]

I wish my math was in this kind of functioning ability, to much to understand.

[mathematicsalgebra]

Why only the positive solution of the quadratic equation is valid? How can we juatify and define the domain?

[tyronekim]

I've learned a new trick today. Thank you.

[gauravverma]

i dont get it why dont you work with the negeive root, the result will be in complex domain.

[sensibleplayer]

At least take into consideration the people watching. It is being blocked by like dislike button. Make space there.

[Arbfor]

I think you skip way too many steps to the point that this is probably only useful to someone who could already solve it.