SOLUTION: I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available. Solve the equation log(2+x)-log(x-5)=log 4 answe

Question 461479: I'm having trouble with this question... and all my calculators give me the same answer which is none of the ones available.
Solve the equation
log(2+x)-log(x-5)=log 4
answers are
A) 7/2 b 22/3 C 22/-3 D 0
Any help would be appreciated.
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
log(2+x)-log(x-5)=log 4
Rules for logarithms says that log(a) - log(b) = log(a/b).
So we get that
log((2+x)/(x-5))= log 4
Clearly
(2+x)/(x-5) = 4
2+x = 4*(x-5)
2+x = 4x - 20
x-4x = -20 -2
3x = -22
x = -22/3
x = 22/-3
RELATED QUESTIONS
Hello I'm given a Right Triangle EFG. EF being the hypotenuse with a altitude which is... (answered by ilana)

Hi I am having really bad trouble with this problem and i have used all the posible... (answered by stanbon,funmath)

I am a seven digit even number. The sum of my digits is 31. The ones,hundreds and ten... (answered by richard1234)

I tried doing this problem but none of my calculators will let me.. I just need to know... (answered by Alan3354)

5) Logarithms: a) Using a calculator, find log 1000 where log means log to the base of (answered by Nate)

Having some trouble with this problem can someone give me a hand? I'm really just having... (answered by jim_thompson5910)

I have been trying to answer this question all morning long. I skipped ahead and... (answered by rfer)

I am having trouble with Inequalities, Permutations, and Probability. I was not sure... (answered by glabow)

I have been having trouble with this question and I am not sure how to answer it, but it... (answered by pug912)