Solve the following logarithmic equation log x logx 15 2 S

Solve the following logarithmic equation. log x+ log(x + 15) = 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.) B. There is no solution.

Solution

given log x + log(x+15) =2

log(x*(x+15) ) = 2

x*(x+15) = 10²

x²+15x=100

(x+20)(x-5)=0

x = 5, x=-20