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2 years ago

I need help with all these questions

Mathematics

1 answer:

Sergio039 [100]2 years ago

8 0

The answer to this question is D and B

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

What would the correct answer be

Karo-lina-s [1.5K]

Think it would be true although I don’t know what the transistive property is.

Hope this helps!

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3 years ago

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In which direction does the head of the molecules of the plasma membrane face?

kiruha [24]

Answer:

toward the outside

Step-by-step explanation:

The plasma membrane is composed of the phospholipid bilayer and cholesterol.The phospholipids have a head and two tails.The head is water loving, hence it is termed as polar/hydrophilic.The tails are nonpolar/ water fearing/hydrophobic.Both inside and outside the cell, water is vital thus the phospholipid line up in two layers where the head points outwards and the tails hidden in the middle.

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3 years ago

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Solve this system of linear equations. Separate

Katyanochek1 [597]

Answer:

good question

Step-by-step explanation:

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3 years ago

Simplify. 3(4-2.8)^3 Answer choices A)4.73 B)5.18 C)53.86 D)263.42

devlian [24]