First you should see that the 2s cancel out. The equation becomes:
Use the laws of logarithms, knowing that ln(e) = 1.
The answer is B.
Hopefully this helps!
log₉(<em>x</em> - 7) + log₉(<em>x</em> - 7) = 1
2 log₉(<em>x</em> - 7) = 1
log₉(<em>x</em> - 7) = 1/2
Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:
can also be written as √9 = 3, and , so the equation reduces to
<em>x</em> - 7 = 3
Solve for <em>x</em> :
<em>x</em> = 10
1. The interior angles of any triangle add to 180 degrees in measure. So
Then by the law of sines,
2. By the law of sines,
so that
Then
so that
Answer 3/4w+8=w-7
3/4w-w= -7-8
-1/4w= -15
w= 60
4x-3y=-9
The first step is to isolate your y value.
Subtract 4x from both sides to get
-3y=-4x-9
Then, divide your whole equation by -3. This gives you y=4/3+3
To graph, plot (0, 3), or three on your y-axis to get your y-intercept.
For your slope, use the rise/run (go up 4, across 3)
You should have a positive slope.