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:
x=8
Step-by-step explanation:
3x/4=6
3x=4*6
3x=24
x=24/3
x=8
hope this helps!
Answer:
3/21, 14.29%, or 14.29
Step-by-step explanation:
John has 21 total marbles, which includes 3 blue ones.
(That's 3 over 21)
Hope this helps!
We are given the professional baseball team won = 84 games.
Let us assume the team loss = x games.
According to problem, "the team won 14 more games than it lost".
14 more than x could be given by expression " x+14".
Therefore, we can setup an equation
x+14 = 84.
Subtracting 14 from both sides, we get
x+14-14 = 84 -14
x = 70.
Team loss = 70 games.
Total number of games played = Number of games win + number of games loss.
= 84 +70 = 154 games.
Therefore, total 154 games were played.
