The correct answer would be 4x(2x+3)
Answer:
o
Step-by-step explanation:
17r-17r=0
Answer:
wouldnt X be 0.6?
Step-by-step explanation:
Answer:
c 200cm2
Step-by-step explanation:
thats it
First you need to determine the defined range
![log_{7}](https://tex.z-dn.net/?f=%20log_%7B7%7D%20)
(9x + 38) -
![log_{7}](https://tex.z-dn.net/?f=%20log_%7B7%7D%20)
(x + 2) =
![log_{9}](https://tex.z-dn.net/?f=%20log_%7B9%7D%20)
(81), x∈ (-2, + ∞)using the
![log_{a}](https://tex.z-dn.net/?f=%20log_%7Ba%7D%20)
(x) -
![log_{a}](https://tex.z-dn.net/?f=%20log_%7Ba%7D%20)
(y) =
![log_{a}](https://tex.z-dn.net/?f=%20log_%7Ba%7D%20)
(
![\frac{x}{y}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7By%7D%20)
), simplify the expression
![log_{7}](https://tex.z-dn.net/?f=%20log_%7B7%7D%20)
(
![\frac{9x+38}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%2B38%7D%7Bx%2B2%7D%20)
) =
![log_{9}](https://tex.z-dn.net/?f=%20log_%7B9%7D%20)
(81)
write the number in the second set of parenthesis in exponential form
![log_{7}](https://tex.z-dn.net/?f=%20log_%7B7%7D%20)
(
![\frac{9x+38}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%2B38%7D%7Bx%2B2%7D%20)
) =
![log_{9}](https://tex.z-dn.net/?f=%20log_%7B9%7D%20)
(9²)
using
![log_{a}](https://tex.z-dn.net/?f=%20log_%7Ba%7D%20)
(
![a^{x}](https://tex.z-dn.net/?f=%20a%5E%7Bx%7D%20)
) = x, simplify the expression
![log_{7}](https://tex.z-dn.net/?f=%20log_%7B7%7D%20)
(
![\frac{9x+38}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%2B38%7D%7Bx%2B2%7D%20)
) = 2
the expression
![log_{a}](https://tex.z-dn.net/?f=%20log_%7Ba%7D%20)
(x) = b is equal to x =
![a^{b}](https://tex.z-dn.net/?f=%20a%5E%7Bb%7D%20)
![\frac{9x+38}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%2B38%7D%7Bx%2B2%7D%20)
= 7²
evaluate the power
![\frac{9x+38}{x+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%2B38%7D%7Bx%2B2%7D%20)
= 49
multiply both sides of the equation by x + 2
9x + 38 = 49(x + 2)
distribute 49 through the parenthesis
9x + 38 = 49x + 98
move the variable to the left side and change its sign
9x - 49x + 38 = 98
move the constant to the right side and change its sign
9x - 49x = 98 - 39
collect the like terms
-40x = 98 - 38
subtract the numbers
-40x = 60
divide both sides of the equation by -40
x = -
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
, x ∈ (-2, + ∞)
finally,, check if the solution is in the defined range
x = -
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
this means that the correct answer to your question is x = -
![\frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20)
let me know if you have any further questions
:)