Solve equations like 3^x+4^x=7^x I know that x=1, but I don't know how to find it. Thank you!

Hugo Stokes

Hugo Stokes

Answered question

2022-10-17

Solve equations like 3 x + 4 x = 7 x
I know that x=1, but I don't know how to find it. Thank you!

Answer & Explanation

Aidyn Mccarthy

Aidyn Mccarthy

Beginner2022-10-18Added 12 answers

Here 3 x + 4 x = 7 x ( 3 6 ) x + ( 4 6 ) x S t r i c t l y   d e c r e a s i n g f u n c t i o n = ( 7 6 ) x S t r i c t l y i n c r e a s i n g f u n c t i o n
So these two curve Intersect each other exactly one Point.
So we can easily calculate x = 1 is only Solution of above equation.

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