Question

Find all the real-number roots of the equation. Give an exact expression for the root and also a calculator approximation rounded to three decimal places


log3 x + log3(x + 3) = 0

Answer 1

first, setting 0 (right side) to log_3 1

Answer 2

then use the property of logarithm :
log_a m +log_a n = log_a (mn) to simplify left side

Answer 3

so log_3 x(x+3)=0 ??

Answer 4

so, it can be