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MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The solution of 2x+2∣x∣≥222^x+2^{|x|}\ge2\sqrt{2} is (1) (−∞,log⁡2(2+1))(-\infty,\log_2(\sqrt{2}+1)) (2) (0,∞)(0,\infty) (3) (12,log⁡2(2−1))\left(\frac{1}{2},\log_2(\sqrt{2}-1)\right) (4) (−∞,log⁡2(2−1)]∪[12,∞)(-\infty,\log_2(\sqrt{2}-1)]\cup\left[\frac{1}{2},\infty\right)

Related theory

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