log (base 2) x + log (base x) 2 = 2 help i am stuck , assignment tomorrow :(
Thread Starter redacejr Joined Apr 22, 2008 85 Nov 23, 2010 #1 log (base 2) x + log (base x) 2 = 2 help i am stuck , assignment tomorrow
J jpanhalt Joined Jan 18, 2008 11,087 Nov 23, 2010 #2 What happens if x =2? John Edit: Hint, look at the formula for changing the log base.
K krishna chaitanya Joined Nov 8, 2010 5 Dec 28, 2010 #3 let Y= log (base 2) x then log (base x) 2 = 1/Y => Y + 1/Y =2... solve it.. Y^2-2Y+1=0 Y=1,1 so..log (base 2) x =1 x=2 is the ans... u can say it by seeing... but this the solution
let Y= log (base 2) x then log (base x) 2 = 1/Y => Y + 1/Y =2... solve it.. Y^2-2Y+1=0 Y=1,1 so..log (base 2) x =1 x=2 is the ans... u can say it by seeing... but this the solution
