ответ: x=0.
Объяснение:
x-1+log₄3=log₄(5ˣ-4ˣ⁻¹)
x-log₄4+log₄3=log₄(5ˣ-4ˣ/4)
x+log₄(3/4)=log₄((4*5ˣ-4ˣ)/4)
log₄((4*5ˣ-4ˣ)/4)-log₄(3/4)=x
log₄((4*5ˣ-4ˣ)/4)*(4/3))=x
log₄((4*5ˣ-4ˣ)/3)=x
(4*5ˣ-4ˣ)/3=4ˣ |×3
4*5ˣ-4ˣ=3*4ˣ
4*5ˣ=4*4ˣ |÷4
5ˣ=4ˣ |÷4ˣ
5ˣ/4ˣ=1
(5/4)ˣ=1
(5/4)ˣ=(5/4)⁰
x=0.
ответ: x=0.
Объяснение:
x-1+log₄3=log₄(5ˣ-4ˣ⁻¹)
x-log₄4+log₄3=log₄(5ˣ-4ˣ/4)
x+log₄(3/4)=log₄((4*5ˣ-4ˣ)/4)
log₄((4*5ˣ-4ˣ)/4)-log₄(3/4)=x
log₄((4*5ˣ-4ˣ)/4)*(4/3))=x
log₄((4*5ˣ-4ˣ)/3)=x
(4*5ˣ-4ˣ)/3=4ˣ |×3
4*5ˣ-4ˣ=3*4ˣ
4*5ˣ=4*4ˣ |÷4
5ˣ=4ˣ |÷4ˣ
5ˣ/4ˣ=1
(5/4)ˣ=1
(5/4)ˣ=(5/4)⁰
x=0.