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

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