Question

(\(\dfrac{-3}{4}\))^{3x - 1} = \(\dfrac{256}{81}\)

Có thể chia ra 2 trường hợp

Answer 1

\(\left(\dfrac{-3}{4}\right)^{3x-1}=\dfrac{256}{81}\)

\(\Rightarrow\left(\dfrac{-3}{4}\right)^{3x-1}=\left(\dfrac{4}{3}\right)^4\)

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Answer 2

\(\left(-\dfrac{3}{4}\right)3x-1=\dfrac{256}{81}\)

\(-\dfrac{9}{4}\cdot x=\dfrac{337}{81}\)

\(x=\dfrac{337}{81}\cdot-\dfrac{4}{9}\)

\(x=-\dfrac{1348}{729}\)

Answer 3

Sửa đề:

(-3/4)³ˣ⁻¹ = 81/256

(-3/4)³ˣ⁻¹ = (-3/4)⁴

3x - 1 = 4

3x = 4 + 1

3x = 5

x = 5/3