How to solve this? I don’t get it how it is x=3 where she solve this ?

 How To Solve This? I Dont Get It How It Is X=3 Where She Solve This ?

Answers

Answer 1

Step-by-step explanation:

Given the logarithmic expression:

[tex]3log_{5}2 + log_{5}x = log_{5}24[/tex]

Using the Logarithmic Product Rule:

[tex]log_{a}x + log_{a}y = log_{a}(xy)[/tex]

And the Logartihmic Power Rule:

[tex]log_{a}x^{y} = ylog_{a}x[/tex]

Rewriting your given logarithmic expression by applying the power rule:  

[tex]log_{5}2^{3} + log_{5}x = log_{5}24[/tex]

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    [tex]_{b}log_{b}x = x[/tex]

Raise each logarithmic expression by the same value as the base, 5:  

[tex](_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)[/tex]

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3


Related Questions

after a 60% reduction, you purchase a new soft drink machine on sale for $200. what was the original price of the soft drink

Answers

your answer is 740 {:

Step-by-step explanation:

let x be the original price

then we write our equation

x-60%x=200 (x=100%x)

100%x-60%x=200

40%x=200

(40/100)x=200

x=(200*100)/40

x=20000/40=500

so the original price was $500

Which expression describes 10−7?

Answers

Unless we are missing more information (which I think we may be as this is a simpler question)

10 - 7 = 10 - 7 = 3

If you need it in words:

Ten minus seven

- or -

Seven subtracted from ten

Two jars of sweets have the same amount of sweets inside.
25% of the sweets in jar A are orange.
2 fifths of the sweets in jar B are orange.
10 sweets in jar A are orange. How many are orange in jar B?

Answers

Answer:

4 sweets are orange in jar B

Step-by-step explanation:

Can you solve this? I'm terrible at math

Answers

1/2-1fgvvvg I am not going to be able to join you for a while I am so happy for you and so much bye

Solve for x: 7x-3/2 = -2/3​

Answers

Hence, the value of x ix 5/21.

★ Solution (1) :-

[tex]\sf \leadsto \dfrac{7x - 3}{2} = \dfrac{-2}{3}[/tex]

[tex]\sf \leadsto 3(7x - 3) = -2(2)[/tex]

[tex]\sf \leadsto 21x - 9 = -4[/tex]

[tex]\sf \leadsto 21x = -4 + 9[/tex]

[tex]\sf \leadsto 21x = 5[/tex]

[tex]\sf \leadsto x = \dfrac{5}{21}[/tex]

Answer:

5/42

Step-by-step explanation:

7x - 3/2 = -2/3          (Take -3/2 to the other side so it becomes +3/2)

7x = -2/3 +3/2          (Add the two fractions)

7x = 5/6                    (7 is taken to the other side so 5/6 ÷ 7)

x = 5/42

Plz help me I just need the answer

Answers

2x + 26 + 10 = 24 + x
2x + 36 = 24 + x (subtract x)
X + 36 = 24 (subtract 36)
X = -12

The figure below has what type of symmetry?

Answers

Answer:

c both point and line symmetry.

the sum of three numbers is 131. the third number is 4 times the first. the second number is 5 more than the first. what are the numbers

Answers

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

what number is not a common denominator of 2/4 and 3/8

Answers

To find the LCM, write multiples of the three denominators:
2
:
2
,
4
,
6
,
8
,
10
,
12
,
...

4
:
4
,
8
,
12
,
16
,
20
,
...

8
:
8
,
16
,
24
,
32
,
...

The LCM is the smallest multiple that is common to all three:
8

This means the least common denominator is
8

Help me answer this please quickly!

Answers

Answer:

Step-by-step explanation:

When two lines intersect, the non adjacent angles formed are called vertical angles and they are congruent.

∠FZG = ∠HZJ   {Vertical angles are congruent.

∠FZG = 38°

Answers?..............​

Answers

The first one is 1
The second one is 1
The third one is 1
Their all 1, because any power with a base of 1, will equal 1. It’s like doing 1x1x1= 1. 1 multiplied to itself will equal 1.

3x - 5 < -14 or 2x - 1 > 7 for x

Answers

Answer:

see below

Step-by-step explanation:

x < -3  for the first equation

x > 4 for the second equation

b) Write 25 x 10^6 in standard form​

Answers

Answer:

The final answer is 25000000.

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

10^6 = 1000000

25 x 10^6 = 25000000

Find the train fares. Assume one half of adult fare for children 1-12. Children
under 1 ride free.

Adult fare: $260

Adults: 2

Children:
4 mo.
2 yr.
4 yr.
6 yr.
7 yr.

Answers

Answer:

(D) 6yr

Step-by-step explanation:

Ans: 1040 (520+520)
4mo is free
Children under 12 yrs fare equals to $130 (260/2) (130 x 4 = 520)
Adult: (260 x 2 = 520)

make x the subject
h=4(x+3y)+2

Answers

Answer:

x=(h-12y-2)/4

Step-by-step explanation:

h=4x+12y+2

4x=h-12y-2

x=(h-12y-2)/4

Can someone please help me

Answers

Answer: im not sure but it should be 5 that symbol then 3

Step-by-step explanation: ez dubs and also i love pizza this is for the points XD

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=(5√3)^2+5^2[/tex]

[tex]\\ \sf\longmapsto H^2=75+25[/tex]

[tex]\\ \sf\longmapsto H^2=100[/tex]

[tex]\\ \sf\longmapsto H=10[/tex]

Done

If a snail travels 2/5 of an inch in 2/3 of a minute, then how far can it travel in 1 full minute? ___Inches

Answers

Answer:

4 in / min

^Speed of snail

1min × 60 = 1hour

(4 in / min) × 60 = 240 in / hour

12 in = 1 ft.

240in / 12 = 20ft. every. hour OR 20ft. / h

Step-by-step explanation:

PLZZZ HELPP REALLLY QUICKKK I WILL GIVE SOMEONE BRAINLEST PLZZ HELLPPP AND EXPLAINNNN PLZZZ EXPLAINNN

Answers

Hi there!

The ratio of the base to the height is 4:1, so:

12 cm : x cm

12/4 = 3, which is the scale. Thus, x = 3 cm.

Find the area using the equation A = b × h

A = 3 × 12 = 36 cm²

How do you Factor out greatest common factor of 30x³y³z²+12x²y²z³-18x⁵y⁶z ?

Answers

Step-by-step explanation:

30x³y³z²+12x²y²z³-18x⁵y⁶z

6x²y²z(5xyz+2z²-3x³y⁴).

hope this helps you.

scale the numerator and the denominator up by a factor of 5 (multiply) to write a
fraction equivalent to 3/10.

Answers

Answer:

15/50

Step-by-step explanation:

5*3=15

5*10=50

so 15/50.

Plz I am really stuck on this question, your time is appreciated.

Answers

Answer: 0.05

Step-by-step explanation:

1) Re-arrange the formula given to find the rate (r)

I = Prt

becomes r = I / Pt

Now we add in the values we know

P = 3000, t = 3 years, I = 450

r = 450 / ( 3000 × 3 )

r = 0.05 or 5% / year

Someone plz help me :(

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. (1, 3) & (6, 3)

Step-by-step explanation:

A is incorrect as the points are only 1 unit apart on the x-axis. (3 - 2 = 1)

B is incorrect as the points are only 2 units apart on the x-axis. (3 - 1 = 2)

C is correct as the points are 5 units apart on the x-axis (6 - 1 = 5)

D is incorrect as the points are 4 units apart on the x-axis (5 - 1 = 4)

Hope this helped! You can also plot the points on graph paper and find the distance that way.

Scale the numerator and the denominator down by a factor of 4 (divide) to write a fraction equivalent to 8/56. (i really need help with this)

8/56 = ??

Answers

Answer:

2/14

Step-by-step explanation:

when you scale the numerator and denominator down by 4, you just divide both of them by 4. So since 8 divided by 4 is 2 and 56 divided by 4 is 14, the answer is 2/14

Mrs. Alejandro places four cards on the board. Which does not represent the same distance?

A. 36 yards
B. 432 feet
C. 1296 inches
D. 108 feet

Answers

Answer:

B. 432 feet

Step-by-step explanation:

36 yards * 3 = 108 feet

108 feet * 12 = 1296 inches

Which is the equation of the line that passes through (-2,2) and (4,-5)

Answers

Answer:

here you go

Step-by-step explanation:

Algebra questions and answers. Write an equation of the line that passes through (4,5) and is parallel to the line defined by 4x+y=-2. Write the answer in slope-intercept form (if possible) and in standard form (Ax+By=C) with smallest integer coefficients. Use the "Cannot be written" button, if applicable.

Find the GCF (Greatest Common Factor) of each pair of numbers:
9 and 36
35 and 42
100 and 120
84 and 42

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Answers are :

9 and 36 [tex]\rightarrow[/tex] 9

35 and 42 [tex]\rightarrow[/tex] 7

100 and 120 [tex]\rightarrow[/tex] 20

84 and 42 [tex]\rightarrow[/tex] 42

Answer:

9 and 36 = 9

35 and 42 = 7

100 and 120 = 20

84 and 42 = 42

A plane travels 800 metres along the runway before taking off at an angle of 10∘

.It travels a further 1‎ ‎000 metres at this angle as seen in the figure. Work out the distance of the plane from its starting point. Give your answer to 2 decimal places.

Answers

I hope this step by step explanation helps.

A plane travels 800 meters along the runway before taking off, then the distance travelled from the starting point will be equal to 1793.24 meters.

What is Velocity?

Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.

In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.

As per the given data in the question,

Distance travelled by plane = 800 meters

Use the equation,

a² = b² + c² -2bc cos A

d² = 800² + 1000² - (2 × 800 × 1000 × cos 170°)

d² = 1640000 - 1600000(cos 170°)

d² = 3215692.405

d = 1793.24

To know more about Velocity:

brainly.com/question/18084516

#SPJ2

How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9?

(Input a numeric value only.)

Answers

Answer:

3

Step-by-step explanation:

there are only x y and z used in the expression no matter how many times they multiply.

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11

One of the greatest assets of a secretary is often his/her ability on the keyboard of a computer. Mrs. Garcia has been recognized as the Most Outstanding Typist at a prestigious firm because of her outstanding typing speed. The table below displays data collected from her most recent evaluation.

Write an equation to represent the total number of words, y, that Mrs. Garcia can type in x minutes_________

If Mrs. Garcia maintains a constant speed consistent with the results above, how many words will she type in 49 minutes?_______

Answers

Answer:

y = 70x3,430

Step-by-step explanation:

The table shows that Mrs. Garcia types 70 words in the first minute and 70 additional words in each additional minute.

That is, in x minues, Mrs. Garcia types 70x words:

  y = 70x . . . . words Mrs Garcia can type in x minutes

__

When x=49, the number of words Mrs. Garcia is expected to type is ...

  y = 70×49 = 3,430

She will type 3,430 words in 49 minutes.

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