Question

Solve the following logarithmic equation.

log x+ log (x+99)=2

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

OA. The solution set is {}

(Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.)

OB. There is no solution.

Answer 1

log(x) + log(x + 99) = 2

log(x² + 99x) = 2

x² + 99x = 100

x² + 99x - 100 = 0

(x - 1)(x + 100) = 0

x = 1 (x = -100 does not work)

A. The solution set is {1}.