Question

Find all valid solutions of the equation
loga(x) + loga(x + 3) = loga(18).
A. x = 3, −6
B. x = 3
C. x = 6
D. none of the other answers is correct
E. x = 6, −3

Answer 1

Bring everything over to one side:\[\bf \log_a(x)+\log_a(x+3)-\log_a(18)=0\]Now write all logarithms as 1 logarithm using these 2 rules:\[\bf \log_a(b)+\log_a(c)=\log_a(b*c)\]\[\bf \log_a(d)-\log_a(e)=\log_a(d/e)\]
@lesliemariahp

Answer 2

@fan me? @lesliemariahp :D lol