Math stuff

Question

Please help me solve this this equation :

                                                         a+b^x=c^x

 

                                         a,b,c are constant number ,we need to solve x 

 

I dont know if I express correcly so here is example :

 

                                                         3+4^x=5^x

                                                        a=3 , b=4 , c=5 just solve x 

Answer 1

3+4^x=5^x
a=3 , b=4 , c=5 just solve x

 

This is very difficult to solve by an algebraic method.

It is better to use a graphical method.

Using a graphing calculator,

Y₁ = 3 + 4^x

Y₂= 5^x

 

Find the point of intersection. x ≈ 1.472

Answer 2

For a^x + b^x = c^x, x = 2 according to Fermat's last theorem.