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3 years ago

Write the expression as a single logarithm. 5logby+ 4logbx

1 answer:

5 0

To write the expression 5logby+ 4logbx, you need to know the laws of logarithm. These laws will help you what will be the type of logarithm that will fit in the given expression. For multiplication, log a + log b = logab and for a logarithm that has a coefficient, 5logb = logb⁵. So the answer is

5logby+ 4logbx
logb y⁵ + logb x⁴
logb y⁵x⁴
The answer is letter B.

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Answer:

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Step-by-step explanation:

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3 years ago

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max2010maxim [7]

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3 years ago

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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago

What does negative x minus x minus 3x minus 4x equals to?

Fittoniya [83]

-x - x - 3x - 4x

Let's start from left to right. First do -x - x, which is -2x.

-2x - 3x - 4x

Now do -2x - 3x, which is -5x.

-5x - 4x = -9x

-9x is your answer.

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4 years ago

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Andreyy89

Answer:

15cm^2

Step-by-step explanation:

area of rectangle

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15cm^2

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3 years ago