Question

Solve for x: 2(1-3x) - (x-5) > 1

Answer 1

2^(3x-1)=5
taking log on both sides
(3x-1)Ln2=Ln5
3x-1=Ln5/Ln2

But Ln5/Ln2=log(5) 2 [ ie read it as log 2 to base 5]

theerefore 3x=log(5) 2 +1
simplifying x=(log(5)2+1)/3

truns out to be x=1.1

Answer 2

I'm assuming that's just a 2, not a 2^(1-3x). It's not really clear.
You want to simplify your equation down to it's answer.
Multiply the 2 to the 1 and the -3x, and the - into (x-5)
2-6x-x+5>1
-7x+7>1
-7x>6
x<(-6/7)

Answer 3

wait, if +7 is subtracted wouldn't the answer be positive 6/7

Answer 4

wait yes you're right XD Sorry for the slip, you're right.