Mathematics College

Write the equation in logarithmic form.
8^−1 = 1/8

Answers

Answer 1

Answer:

[tex]\log _8\left(\frac{1}{8}\right)=-1[/tex]

Step-by-step explanation:

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

Write the equation in logarithmic form.

[tex]8^{-1}=\frac{1}{8}[/tex]

Definition of logarithmic form

⇒[tex]a^n=b\quad \Rightarrow \quad \log _ab=n[/tex]

___________________________

[tex]a=8[/tex] [tex]b=\frac{1}{8}[/tex] [tex]n=-1[/tex]

___________________________

Plug in the values

[tex]8^{-1}=\frac{1}{8} \quad \Rightarrow \quad \log _8\frac{1}{8} =-1[/tex]

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

[tex]\quad \log _8(\frac{1}{8}) =-1[/tex]

Related Questions

Which equation represents this statement?

23 times a number is 65

23=n+65

23n=65

23+n=65

23=65n

Answers

Answer:

The correct equation is 23n=65

Step-by-step explanation:

23n=65 means a number 'n' multiplied with 23 gives you the product 65.

SOMEONE PLEASE HELP ME

Answers

Answer:

∠1=55°

Step-by-step explanation:

Since all the angles in a triangle have to add up to 180° we can make an equation

80°+45°+∠1=180°

∠1=55°

180-(45+80)=55
Triangle Q S R =180

What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?

Answers

Answer:

1970.2 cubic inches

Step-by-step explanation:

please mark me as brainliest

Between a and b is 10 between a and c 6 these are for the small triangle
between r and q is m and between q and s is 9
help me find m
I WILL MARK BRAINEST

Answers

Answer:

m=15

Step-by-step explanation:

since side QS is 9 and side AC is 6 which is 1.5 times bigger so there is a dilation of 1.5 meaning all sides are 1.5 times bigger on the right triangle than the left triangle. Side AB is 10 so 1.5 times 10 is 15 so m=15

Find (gxf) when f(x)=5x-7 and g(x)=2x+3

Answers

Answer:

10[tex]x^{2}[/tex]+x-21

Step-by-step explanation:

you just do (5x-7)(2x+3) and foil it out

[tex]8 \frac{1}{9} - 6\frac{7}{8}[/tex]

Answers

let's firstly convert the mixed fractions to improper fractions, and then subtract.

[tex]\stackrel{mixed}{8\frac{1}{9}}\implies \cfrac{8\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{73}{9}}~\hfill \stackrel{mixed}{6\frac{7}{8}}\implies \cfrac{6\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{55}{8}}\\\\[-0.35em]~\dotfill\\\\\cfrac{73}{9}-\cfrac{55}{8}\implies \stackrel{\textit{using}\stackrel{LCD}{72}}{\cfrac{(8\cdot 73) - (9\cdot 55)}{72}}\implies \cfrac{584-495}{72}\implies \boxed{\cfrac{89}{72}\implies 1\frac{17}{72}}[/tex]

Someone help for #36 please

Answers

Looks like it may be asking you to convert it to a fraction or percent. 7/20 or .35

A hotel has number of meeting rooms m available for events each meeting room. Has 325 chairs write equation to represent c the total number of chairs in all of the meeting rooms at the hotel

Answers

Answer:

2,275

Step-by-step explanation:

c=325m

Because for every meeting room there is 325 chairs and c=the total of chairs

and c=325(7) so c=2,275

so the answer is 2,275

7.) six hundred thousand forty nine and eleven thousandths how do I write in standard form

Answers

Answer: Un alambre de acero de 1.5 m se estira 2.0 mm con fuerza F. El diámetro del alambre de acero es 4.0 mm. El módulo de Young del acero es 2.0 x 1011 Nm-2. Determine la fuerza F aplicada sobre el alambre.

Step-by-step explanation:

60049.0011 This should be the answer

Add.

18 5/12 + 8 10/17 + 23 7/12 +28 7/17=?????????????????????????????????????????????????

Answers

Answer: 79

Step-by-step explanation:

Here are fractions A) 2/5 B) 2/3 C) 1/4 D) 1/4

Answers

The answer is going to be B

Answer:

0.5 can also be written as 1/2 so we can eleminate the ones that are greater than 1/2 and put them ahead of 0.5 on the number line.

Since 2/3 is approximately 0.666666666666 we can put that above 0.5

2/5=0.4

1/4=0.25

1/10=0.1

Knowing this... The answer is D,C,A,B

Hope this helps

Have a nice day!!

Please give brainliest :D

PLEASE HELP!! NO LINKS

Answers

Answer:

Step-by-step explanation:

50 + 5x = 20 + 8x

20 + 8x = 50 + 5x

3x + 20 = 50

3x = 30

x = 10 students

50 + 5(10) = 50 + 50 = $100

answer is D


Write y - 3 = 1/3(x - 12) in standard form

Answers

Step-by-step explanation:

y-3=1/3x -4

add add four

y+1=1/3x

divide 1/3 into 1

y+3=x

Answer:

x - 3y = 3

This is the answer in standard form.

The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−3.
Find a possible formula for P(x). P(x)=,

Answers

Sine the roots x=1 and x=0 have a multiplicity of 2, we know p(x)= (x-1)^2 (x)^2 (x-a). Since we also know x=-3 is a root, we have p(x)= (x-1)^2 x^2 (x+3)

It takes Rick, traveling 36mph, 40 minutes longer to go a certain distance than it takes Evelyn traveling at 84mph. Find the distance traveled

Answers

d = r · t  and we know that the distance is the same.

Let x = time it takes Evelyn (in hours, since the rate is mph).

Evelyn's distance is 84x.

Rick's distance is 36·(x+2/3)  since 40 minutes longer is 2/3 of an hour longer

    84x = 36(x+2/3)

    84x = 36x + 24

    48x = 24

    x = 1/2

So it takes Evelyn 1/2 an hour, meaning the distance is 84(1/2) = 42 miles

To confirm this, it would take Rick 42/36 hours or 1 and 1/6 hours.  That's 70 minutes, which is 40 minutes longer than Evelyn's 1/2 hour trip.

The distance is 42 miles.

Image help | b), exercise 74
(this cost me 50 of my 53 points, please don't answer if you don't know)

Answers

Answer:

x = 3Sides are 6, 8 and 10

Step-by-step explanation:

Use Pythagorean to find the value of x:

c² = a² + b²

Consider:

a = x + 3, b = 3x - 1, c = 4x - 2

Substitute and solve for x:

(4x - 2)²  = (x + 3)² + (3x - 1)²16x² - 16x + 4 = x² + 6x + 9 + 9x² - 6x + 116x² - 10x² - 16x + 4 - 10 = 06x² - 16x - 6 = 03x² - 8x - 3 = 03x² - 9x + x - 3 = 03x(x - 3) + (x - 3) = 0(x - 3)(3x + 1) = 0x - 3 = 0, 3x + 1 = 0x = 3, x = - 1/3

Positive root is accepted only.

Sides of the triangle:

a = x + 3 = 3 + 3 = 6b = 3x - 1 = 3*3 - 1 = 8c = 4x - 2 = 4*3 - 2 = 10

PLEASE HELP ME NO LINKS PLEASE

Answers

Answer:

Step-by-step explanation:Class 1 :

mean= 78.83(rounded)  median=88 range= 55

Class 2:

mean= 79.42 (rounded) median=85.5 range= 60

Class 3:

mean= 79.42 (rounded) median=78 range =45

Genesis mows lawns during the weekend in order
to earn extra money. She can mow 1/3 of a lawn
in 1/6 of an hour. How many lawns can Genesis
mow per hour?

Answers

Answer:

two lawns.....

...........

Genesis can mow 2 lawns per hour.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Genesis mows in 1/6 hour =1/3 lawns

To find, mow per hour,

∴ in 1/6 hours =1/3 lawn,

⇒1 hour = 6×1/3 lawn

⇒1 hour = 2 lawns.

So, In 1 hour, Genesis can mow 2 lawns.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Subtract: 3/4y-(1/2y+1/3)

Answers

Answer: y=72

Step-by-step explanation:

epic gamer question i'll mark brainliest​

Answers

The answer is transitive property

no need for explanation

Answers

Answer:

Step-by-step explanation:

iii) ∠AOE + ∠DOE +  ∠DOB = 180   {Straight line angles}

  67 + ∠DOE + 100 = 180

          ∠DOE = 180 - 167

         ∠DOE = 13°

ii) ∠BOC = ∠AOD    {Vertically opposite angles}

  ∠BOC = ∠AOE + ∠DOE

              = 67 + 13

  ∠BOC = 80°

i) ∠AOC = ∠BOD

∠AOC = 100°

PLEASE HELP

how i find b in y=mx+b
the coordinates are (4,2) and (11,18)
Please show your work
THANK YOU

Answers

Answer:

b=16/7

Step-by-step explanation:

b= y2-y1/x2-x1

b=18-2/11-4

b=16/7

Find an equation for the horizontal line through the point (2,−8).

Answers

Answer:

X=2

Step-by-step explanation:

X is the horizontal line and in this coordinate pair, 2 is our X. Therefore X=2

Answer:

y = -8

Step-by-step explanation:

You can have a horizontal line parallel to the x-axis which is also known as y=c. Since you had the point (2,-8) you can simply write y = -8 as an equation.

My name is Pauley the Parrot and I have a dilemma. Blackbeard found a
chest full of gold and he wanted to divide it evenly among the crew. The
chest weighed 12 pounds because it was filled to the top with gold. There
are 24 crew members (including myself and Blackbeard) on the boat. I told
him that if he gave each crew member 2 lbs. of gold there would be enough
to go around. Blackbeard said that he could give each crew member { lb of
gold and there would be enough to go around.
Can you help us figure out who is correct? Make sure to explain who was
correct, and why the other person was incorrect. Maybe, I can split my
earnings with you!
Thank you!
Pauley the Parrot

Answers

Answer:

bh

Step-by-step explanation:

Each person would get 0.5 lb.

You’re splitting the gold between the people, but there is less gold, so you would divide the number of people by the amount of gold. You get 0.5, so each person would get 0.5 lb.

Please answer
A=
B=
C=

Answers

Answer:

I can't see the file

Step-by-step explanation:

answer this problem with the picutre

Answers

Answer:

75

Step-by-step explanation:

If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.

A new company president is said to have caused the company "to do a 180." Before the new president, the company was losing 10,000 per month .What is the company most likely doing under the new president?

Answers

Answer:

Earning 10,000 per month.

Step-by-step explanation:

Since a "180" usually refers to an opposite, the opposite of "losing 10,000 per month" would happen.

So, the company would be earning money instead of losing money.

pls make sure to round to nearest cent is necessary

Answers

I don’t know The answer but I tried

26:
= α : 8
18:x= x:8

Answers

Answer:

,=your head

Step-by-step explanation:

thanks for the points bye bye

524cars/4weeks find unit rate​

Answers

9514 1404 393

Answer:

  131 cars/week

Step-by-step explanation:

Finish simplifying the fraction you wrote:

  (524 cars)/(4 weeks) = (524/4) cars/week = 131 cars/week

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