Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Matthew makes $15 money .
<u>Step-by-step explanation</u>:
- Total profit = $25
- Matthew gets 60% of the profit.
Therefore, the Matthew would get 60% of 25.
⇒ (60/100)25
⇒ 0.625
⇒ $15
The answer is going to be: answer B.
Hope this helps =D