Question

2^x=-4 what is the value of x

Answer 1

Answer:

${2}^{x} = - 4 \\ \\ {2}^{x} = - ({2})^{2} \\ \\ x = - 2$

Answer 2

Answer:

|x+2|=4|x+2|=4 --> x=2x=2 or x=−6x=−6.

(1) x^2 is different from 4 --> x2≠4x2≠4 --> x≠2x≠2 (and x≠−2x≠−2), so x=−6x=−6. Sufficient.

(2) x^2 = 36 --> x=6x=6 or x=−6x=−6, so x=−6x=−6. Sufficient.

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Step-by-step explanation: