Question

Решить уравнение:
4ˣ⁺³ + 4ˣ = 130

Answer 1

$4^{x+3}+4^x=130\4^x*4^3+4^x=130\4^x=t\64t+t=130\65t=130\t=2\4^x=2\x= frac{1}{2}$

Answer 2

$4^x^+^3 + 4^x = 130 \ 4^x*4^3 + 4x*1 = 130 \ 4^x(4^3+1)=130 \ 4^x(64+1)=130 \ 4^x*65=130 \ 4^x = frac{130}{65} \ 4^x = 2 \ (2^2)^x = 2 \ 2^2^x = 2^1 \ 2x=1 \ x = frac{1}{2}$