Solving
we get, 
Step-by-step explanation:
We need to solve: 
Solving:

Adding -ln(2) on both sides:


Using logarithmic rule: if 
So,

Simplifying:

So, Solving
we get, 
Keywords: Logarithms
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The factor of mn+5m-3n-15 is 6m-4n-15.
Answer:
Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.
Step-by-step explanation:
The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².
Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.
So, ab = 72 ........... (1)
Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.
So, the area of rectangle ABCD will be
cm² {from equation (1)}
Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)
Answer:
AO=8
Step-by-step explanation:
8, because point O is the centroid because it is the intersection point of the medians. The distance from a vertex to the centroid is always the same, and the ratio of the distance from a vertex to the centroid to the distance from the centroid to the side is always 2:1. So, we know that since FO=4, CO=8. AO=CO, so AO=8.
Answer:
x = 1, -5
Step-by-step explanation:
The answer to the equation is 0 right? So you have to find the value of x to make this equation true. To make (x - 1) equal 0, x has to equal 1, because if x equals 1, then 1 - 1 = 0. It's the same for (x + 5). X would have to equal -5. -5 + 5 = 0.
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