Question 647
Start by dividing both sides by 2 to get the log by itself.
log(base of 2)1024 = 1/2(3x + 1)

Then you want to think about what log(base of 2)1024 equals. Remember that raising the base of 2 to some exponent equals 1024. {{{2^y = 1024}}}
{{{2^10 = 1024}}}
So, log(base of 2)1024 actually equals 10.
 
10 = 1/2(3x + 1) Now multiply both sides by 2.
20 = 3x + 1 Now subtract 1 from both sides.
19 = 3x Now divide both sides by 3.
19/3 = x