good strategy
[2^2 *(2^2)^x] / 2 = 2^10
(2^2)^(x + 1) = 2^11
4* 4^x/2 =1024
Where do you begin since it is expoential?
Is it 2^2+ 4(^2(^x/2) = 2^10.Then simplifying ?
3 answers
or , assuming you meant : 4* 4^(x/2) =1024
4^(x/2 + 1) = 4^5
x/2 + 1 = 5
x/2 = 4
x = 8
If you meant: 4* (4^x)/2 =1024, the way you typed it
(4^x)/2 = 256
4^x = 512
xlog4 = log512
x = log512/log4 = 4.5
4^(x/2 + 1) = 4^5
x/2 + 1 = 5
x/2 = 4
x = 8
If you meant: 4* (4^x)/2 =1024, the way you typed it
(4^x)/2 = 256
4^x = 512
xlog4 = log512
x = log512/log4 = 4.5
Thank you! Sorry for the confusion of the way I typed it.