(6^(x^2))/(3^2)=(2^2)/(6^(8-5x))

Question

(6^(x^2))/(3^2)=(2^2)/(6^(8-5x))

Answer 1

(6^(x^2))/(3^2)=(2^2)/(6^(8-5x))
(6^(x^2))*(6^(8-5x))=(2^2)*(3^2)
(6^(x^2+8-5x))=(6^2) так как основания одинаковы, запишем
x^2+8-5x=2
x^2-5x+6=0
D=25-24=1
x₁ =(5+1)/2=3
x₂ =(5-1)/2=2

Answer 2

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