Question

Find the value of x,if:
2^x + 2^x + 2^x = 192

Answer 1

Answer:

6

Step-by-step explanation:

Its very simple but tricky...

${2}^{x} + {2}^{x} + {2}^{x} = 3 \times {2}^{x}$

Means our final equation is...

$3 \times {2}^{x} = 192 \\ {2}^{x} = \frac{192}{3} \\ {2}^{x} = 64 \\ {2}^{x} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ {2}^{x} = {2}^{6} \\ x = 6$

Plz mark as brainliest...

Hope it will help you...

Thanks!!!

#VIVEK9090