How do you solve the equation log(3+x)-log(x-5)=log(2)?
1 Answer
Feb 9, 2018
Explanation:
Use the logarithm property that:
#loga - logb = log(a/b)#
Therefore, we can solve this equation like this:
#log(3+x) - log(x-5) = log(2)#
#log((3+x)/(x-5)) = log(2)#
#(3+x)/(x-5) = 2#
#3+x = 2(x-5)#
#3+x = 2x - 10#
#3 = x - 10#
#13 = x#
Final Answer
