Question

the value of x satisfying the equation 5^2x-5^x+3+125=5^x​

Answer 1

Answer:

solution of the equation 5^2x-5^x+3+125=5^x is

5^2x-5^(x+3)+125=5^x  

let suppose,

5^x=b

5^2x=b^2

b^2-125b+125=b

b^2-126b+125=0

b=125,1

so that, 5^(x)=125 = 5^(3 )or 5^(x)=1 = 5^0

so here it is  x=3 / x=0