\[{2}^{10}+{2}^{10}={2}^{x}\]
1
Simplify  210{2}^{10}  to  10241024.
1024+1024=2x1024+1024={2}^{x}

2
Simplify  1024+10241024+1024  to  20482048.
2048=2x2048={2}^{x}

3
Convert both sides to the same base.
211=2x{2}^{11}={2}^{x}

4
Cancel the base of 22 on both sides.
11=x11=x

5
Switch sides.
x=11x=11

Done

Check Answer ▼
Copy Link
How can we make this solution more helpful?
Cymath foriOSAndroid