Answer:
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
2) The product property of logarithms states that . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of and . Apply the property as seen below and find the final answer.
So, the answer is .
Values used with a function are called arguments. An argument in terms of logic and philosophy, it is the series of statements that are being used for such purpose and function. It is typically used to persuade someone to a different perspective of looking.
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <CED = <AEB
If <CED = 102º
Then <AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>m∠A = 60º</span>
Answer:
Yes.
Step-by-step explanation:
First, make a graph, or imagine one.
I'll be making an example graph that only goes up to 13 here.
Age - 10 11 12 13
Height
v
6ft
5ft
4ft
If we mark this graph with points, you will find that there is only 1 point on each age line!
Age - 10 11 12 13
Height
v
6ft *
5ft * *
4ft *
This means the answer is yes!