SOLUTION: log(x-4)+log5=2

Question 1055419: log(x-4)+log5=2
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
start with log(x-4) + log(5) = 2
subtract log(5) from both sides of this equation to get log(x-4) = (2 - log(5))
this is true if and only if 10^(2-log(5)) = x - 4
add 4 to both sides of this equation to get 10^(2-log(5)) + 4 = x
simplify to get 10^(1.301029996) + 4 = x
simplify further to get 24 = x

that should be your solution.
evaluate your original equation using x = 24.
log(x-4) + log(5) = 2 becomes log(20) + log(5) = 2
evaluate to get 2 = 2
this confirms the solution is correct.

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