How do you solve #1/(log_2x-4)>1/(log_2x)#?
My solution:
#1/(log_2x-4)>1/(log_2x) => (log_2x-(log_2x-4))/((log_2x-4)log_2x) => (log_2x-log_2x+4)/((log_2x-4)log_2x) => (4)/((log_2x-4)log_2x)#
#log_2x!=4 => log_2x!=log_(2)2^4 => x!=16#
#log_2x!=0 => log_2x!=log_(2)2^0 => x!=1#
Answer:
#(-oo;1)uu(16;+oo)#
My solution:
Answer:
1 Answer
The solution is
Explanation:
The function
Make a sign chart
Therefore,