Question

find x if 2‐³=1/2x.
in detail ​

Answer 1

Answer:

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Answer 2

Answer with step-by-step explanation:

By assuming that it is 1x,

2⁻³ = 1/2x

Remove minus in the exponent and invert the base,

(1/2)³ = 1/2x

1/2 × 1/2 × 1/2 = 1/2x

1/8 = 1/2x

By cross-multiplication method,

1 × 2 = 8 × 1x

2 = 8x

Transposing 8 to LHS,

2/8 = x

∴ 1/4 = x

OR

By assuming that it is 2x,

2⁻³ = 1/2x

Remove minus in the exponent and invert the base,

(1/2)³ = 1/2x

1/2 × 1/2 × 1/2 = 1/2x

1/8 = 1/2x

By cross-multiplication method,

1 × 2x = 8 × 1

2x = 8

Transposing 2 to RHS,

x = 8/2

∴ x = 4

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