Answer:

Step-by-step explanation:
Given expression is,

By using the law of logarithm,



By comparing exponents on both the sides of the equation,


Therefore,
will be the answer.
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
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Answer;k≤−6
Step-by-step explanation:(
3
−1
)*(
−1
3
k)≥(
3
−1
)*(2)=
k≤−6
The slope m of a line
through points

and

is given by :<span>

Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is
</span>

<span>
The equation of a line with slope m passing through a point P(a, b) is given by
(y-b)=m(x-a).
We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):
y-10=1(x-2)
y-10=x-2
y-x=-2+10
y-x=8
Answer: </span><span>C. −x+y=8</span>