Which of the following shows the true solution to the logarithmic equation below? Log (x) + log (x+5) = log (6x+12)

Question

Mathematics

Sabrina Kennedy

14 December, 10:51

Which of the following shows the true solution to the logarithmic equation below? Log (x) + log (x+5) = log (6x+12)

+5

Answers (2)

Know the Answer?

Josephine Christensen · Answer 1

Josephine Christensen 14 December, 11:26

0

X=4 is the true solution

Bentley Stokes · Answer 2

The equation can be rewritten as: Log (x * (x+5)) = Log = (6x+12)

so x (x+5) = 6x+12

x^2+5x=6x+12

x^2-x-12=0

(x+3) (x-4) = 0

x=-3 or x=4

x cannot be negative here, so x=4 is the only solution