Question

2^x*4^x=4
what is the value of x​

Answer 1

Answer:

${2}^{x} \times {4}^{x} = 4 \\ {2}^{x} \times ( {2}^{2}) {}^{x} = {2}^{2} \\ {2}^{x} \times {2}^{2x} = {2}^{2} \\ {2}^{x + 2x} = {2}^{2} \\ x + 2x = 2 \\ 3x = 2 \\ x = \frac{2}{3}$

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Answer 2

Step-by-step explanation:

${2}^{x} \times {4}^{x} = {4}^{1} \\ {2}^{x} \times {2}^{2x} = {2}^{2} \\ x + 2x = 2 \\ 3x = 2 \\ x = \frac{2}{3}$