SOLUTION: log(x-30)=3-logx

Question 629966: log(x-30)=3-logx
Answer by Charles3475(23) (Show Source): You can put this solution on YOUR website!
log(x-30)=3-logx

(make both Side Exponents of 10)

(10^(a-b) = 10^a/10^b)

(simplify 10^log(a) = a)

(multiply both sides by x)

(subtract 1000 from both sides)

(Factor quadratic)

Either (x-50) = 0 or (x+20) = 0

x = 50 or x = -20 (solve)

However, x = -20 is an invalid solution as you can's take the log of a negative number.

x = 50 (answer)

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