MATH SOLVE

3 months ago

Q:
# Which of the following shows the true solution to the logarithmic equation below?log(x)+ log(x+5) = log(6x +12)©X=-3x=4X=-3 and x = 4X=-3 and x=-4

Accepted Solution

A:

Answer:x = 4.Step-by-step explanation:log(x) + log(x+5) = log(6x +12)
log x(x +5) = log(6x + 12)Therefore x(x + 5)= 6x +12x^2 + 5x - 6x - 12 = 0x^2 - x - 12 = 0(x - 4)(x + 3) = 0x = -3, 4.logs of negative values do not exists so the anser is x = 4.©