سؤال معقد

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4²ˣ+5ˣ•4ˣ=5²ˣ ÷4²ˣ

1+5ˣ•4⁻ˣ=(5/4)²ˣ

1+(5/4)ˣ=(5/4)²ˣ

let y=(5/4)ˣ

y²-y-1=0

y=(1+√5)/2 , y=(1-√5)/2 ❌

(5/4)ˣ=(1+√5)/2

x= [ln[1/2+√(5/2)] / ln(5/4)

x= 2.15651235

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