Question

URGENT!!!!

Rezolvati ecuatiile:

a) 1 supra 2 la puterea x=4
b)1supra 2 totul la x=2la puterea x-2​

Answer 1

 

$\displaystyle\bf\\a)\\\\\left(\frac{1}{2}\right)^x=4\\\\\\2^{-x}=2^2\\\\-x=2~~\Big|\cdot(-1)\\\\\boxed{\bf~x=-2}\\\\\\b)\\\\\left(\frac{1}{2}\right)^x=2^{x-2}\\\\2^{-x}=2^{x-2}\\\\-x=x-2\\\\-2x=-2~~\Big|\cdot(-1)\\\\2x=2\\\\x=\frac{2}{2}\\\\\boxed{\bf~x=1}$