Question

Solve: 2^x-2^(x-2)=6

Answer 1

X=3! Hope this helps (:

Answer 2

2x+2+(−3x+6)=x+62x+2+(-3x+6)=x+6Simplify by adding terms.
−x+8=x+6-x+8=x+6Move all terms containing xx to the left side of the equation.
Since xx contains the variable to solve for, move it to the left side of the equation by subtracting xx from both sides.−x+8−x=6-x+8-x=6Subtract xx from −x-x to get −2x-2x.−2x+8=6-2x+8=6Move all terms not containing xx to the right side of the equation.
Since 88 does not contain the variable to solve for, move it to the right side of the equation by subtracting 88 from both sides.−2x=−8+6-2x=-8+6Add −8-8 and 66 to get −2-2.−2x=−2-2x=-2Divide each term by −2-2 and simplify.
Divide each term in −2x=−2-2x=-2 by −2-2.−2x−2=−2−2-2x-2=-2-2Simplify the left side of the equation by cancelling the common factors.
x=−2−2x=-2-2Divide 22 by −2-2 to get −1-1.x=1