All categories

3 years ago

This was my very last homework question and i'm stumped. log_4(x+1)-log_4(x)=3

1 answer:

4 0

$\log_4(x+1)-\log_4x=3 \qquad(x>0)\\ \log_4\dfrac{x+1}{x}=3\\ \dfrac{x+1}{x}=4^3\\ \dfrac{x+1}{x}=64\\ x+1=64x\\ 63x=1\\ x=\dfrac{1}{63}$

You might be interested in

Help me plass plaas me

dezoksy [38]

Answer:

it isn't really visible . do it right

Step-by-step explanation:

please mark me brainiest like my answer and follow me on this

3 0

2 years ago

Read 2 more answers

Find an equation of the plane that is parallel to the xz-plane and is located 11 units to the right of the xz-plane in standard

mina [271]

Answer:

y = 11

Step-by-step explanation:

Since our plane is parallel to the xz plane, the x and z are independent of each other, i.e. they could be anything. So xz plane has an equation of y = 0. So if this plane is located 11 units to the right of the xz plane then its equation must be y = 11.

8 0

3 years ago

A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of

Tatiana [17]

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0

3 years ago

If p(x)=x2+2x-5 and qıx)=x-3, what is p(x) - g(x)?

Alenkinab [10]

Answer:

C. x2+x-2

Step-by-step explanation:

5 0

3 years ago

Martin ordered a pizza with a 12-inch diameter. Ricky ordered a pizza with a 16-inch diameter. What is the approximate differenc

adell [148]

Answer:

88 in²

Step-by-step explanation:

The shape of a pizza = Circular

Area of a circle = πr²

For Martin

Martin ordered a pizza with a 12-inch diameter.

Radius = Diameter/2 = 12 inch/2 = 6 inch

Area of Martin's pizza = π × 6²

= 113.09733553 in²

≈ 113.1 in²

For Ricky

Ricky ordered a pizza with a 16-inch diameter.

Radius = Diameter/2 = 16 inch/2 = 8 inch

Area of Martin's pizza = π × 8²

= 201.06192983in²

= 201.1in²

The approximate difference in area of the two pizzas in square inches is calculated as:

201.1 in² - 113.1 in²

= 88 in²

8 0

3 years ago