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3 years ago

Which equations listed below contain like terms?

Mathematics

1 answer:

Marianna [84]3 years ago

6 0

Answer:

Step-by-step explanation:

14p and 3p have the same variable

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hello! So the people in Indian server were bad(as they would not answer and instead spam) so I switched servers and I hope you a

Art [367]

Answer:

$\displaystyle E=26log2-24log3+8log 5$

Step-by-step explanation:

<u>Logarithms</u>

There are certain properties of the logarithms we'll need to recall in order to simplify the expression given in the question. We'll list them below

$log(x.y)=logx+logy\\log(x/y)=logx-logy\\logx^y=y.logx$

We'll also need to factor the following numbers into their prime factors:

$20=2^2\cdot 5$

$16=2^4$

$15=3\cdot 5$

$25=5^2$

$24=2^3\cdot 3$

$81=3^4$

$80=2^4\cdot 5$

The original expression is

$\displaystyle E=log20+16log\frac{16}{15}+12log\frac{25}{24}+log\frac{81}{80}$

Plugging in the factored values

$\displaystyle E=log(2^2\cdot 5)+16log\frac{2^4}{3\cdot 5}+12log\frac{5^2}{2^3\cdot 3}+log\frac{3^4}{2^4\cdot 5}$

Applying the properties we have

$\displaystyle E=log2^2+log 5+16(log2^4-log3-log 5)+12(log5^2-log2^3-log 3)+log3^4-log2^4-log 5$

$\displaystyle E=2log2+log 5+16log2^4-16log3-16log 5+12log5^2-12log2^3-12log 3+log3^4-log2^4-log 5$

$\displaystyle E=2log2+log 5+64log2-16log3-16log 5+24log5-36log2-12log 3+4log3-4log2-log 5$

Simplifying

$\boxed{\displaystyle E=26log2-24log3+8log 5}$

7 0

4 years ago

How to find the GCF of 5 and 20

solong [7]

See what number goes in to 5 and 20 and then dive

6 0

3 years ago

Read 2 more answers

B increased by 16 is at most 20 in equation form

Umnica [9.8K]

Answer:

$b+16\leq 20$

Step-by-step explanation:

b increased by 16 is at most 20 in equation form

increased means add

b+16

is at most means $\leq$

$b+16\leq 20$

7 0

3 years ago

How does the slope of a line segment relate to the rate of change?

LenKa [72]

The slope of the line is the rate of change

6 0

3 years ago

How can you find the area of circle using diameter?

nekit [7.7K]

The equation for the area of a circle is:

A=π*radius squared.

Since radius is half of the diameter.

Diameter/2=radius

Then plug it into the equation.

4 0

4 years ago