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

What is the sum of the interior angle measures of this polygon?
What value of X makes equation below true 2x + 9 = 4x - 1
Please help last question and I need it pretty quick!​
Jordon missed 49 on his multiple choice math final and earned a grade of 65%. How many total questions were on the final exam?
name the districts that touch the borders of china​
HEEELP PLEEAAASE! PLEEAASE
What is 78,400,000 expressed in scientific notation
At a bookstore, 30% of the books are fiction. If there are 800 books in the bookstore, how many are fiction? A: 240 B: 300 C: 560 D: 800
5. Marcus purchased 8.5 pounds of sweet potatoes. If each pound of sweet potatoes sells for $1.20, how much does Marcus owe for sweet potatoes?​
Will give brainliest HELP