Question

Помогите решить, пожалуйста)
(10 ^x-5)^x-6=100

Answer 1

$(10 ^{x-5}) ^{x-6} =10^2$
(x-5)(x-6)=2
x²-6x-5x+30-2=0
x²-11x+28=0
x1+x2=11 U x1*x2=28
x1=4 U x2=7

Answer 2

$(10^x^-^5)^x^-^6=100; \\ 10^(^x^-^5^)^(^x^-^6)=10^2; \\ (x-5)(x-6)=2; \\ x^2 -11x+30 = 2; \\ x^2-11+28=0; \\ x_1=7; x_2=4.$