SOLUTION: Please help me solve this task: Sqrt(log2((2x-3)/(x-1)))<1 log2 is logarithm base 2 Thank you

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Question 974763: Please help me solve this task:
Sqrt(log2((2x-3)/(x-1)))<1

log2 is logarithm base 2
Thank you
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Sqrt(log2((2x-3)/(x-1))) < 1
square both sides of <
log2((2x-3) / (x-1)) < 1
apply definition of logarithm division
log2(2x-3) - log2(x-1) < 1
remove log2
2x-3 - x + 1 < 2^1
x -2 < 2
x < 4