Seudónimo Seudónimo
  • 03-07-2021
  • Mathematics
contestada

solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
​

Respuesta :

zlskfrum zlskfrum
  • 03-07-2021

Answer:

Step-by-step explanation:

Using log(x) - log(y) = log (x/y)

logx^2 - log(x+6) = 1 is equal to:

log (x^2/(x+6)) = 1

Taking inverse base 3 log on both side:

x^2/(x+6) = 3

x^2 = 3x + 18

x^2 - 3x - 18 = 0

(x-6)(x+3) = 0

x = 6 or -3

Answer Link
Asdfjkadfjkakjf Asdfjkadfjkakjf
  • 03-07-2021

Answer:

Step-by-step explanation:

1 = base 3log3

substitute

logx^2-log(x+6) = log3

logx^2 - log(x+6) - log3 = 0

log( (x^2/(x+6))/3 ) = 0

anti-log

x^2/3(x+6) = 1

x^2 = 3(x+6)

x^2-3x-18=0

x=6 n -3

anti-log base 3 on both sides:

Answer Link

Otras preguntas

ILL MARK BRAINLEST What is appeasement, why did England and France choose this path, and why didn't it work on Hitler?
HELP HELP PLZZZZZZZZZ
The fact that the H7N9 virus has only recently infected humans helps explain why
Solve these equations. Thanks.
Need this answer RN! Which cities in the West did African Americans migrate to during the Great Migration?
What's a name idea for a blue lipe gloss?
What is the diameter of a sphere with a volume of 6329\text{ ft}^3,6329 ft 3 , to the nearest tenth of a foot?
You roll a fair 6-sided die. What is P(not 3)?
The oceans’ tides are caused by the gravitational pull of what object or objects? The Sun only the Sun and the planets the Moon and the Sun the Moon and the p
According to the video, why was Rasputin killed? (Russian revolution video)?a) because he wanted Lenin out of power)b- because he was an enemy of stain)c- to e