Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2


Related Questions

For what values of x is the trionomial 2x^2-x+55 equal to the square of bionomial x+5?

Answers

Answer:

[tex]x_1= 6, x_2=5[/tex]

Step-by-step explanation:

Well well well, let's write it down as an equation

[tex]2x^2-x+55 = (x+5)^2[/tex]

And then let's just do what's asking us to do

[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process

[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]

[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]

Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.

Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?

y=2,471x−230y is equal to 2 comma 471 x minus 230

y=−230x+2,471y is equal to negative 230 x plus 2 comma 471

y=2,471x+230y is equal to 2 comma 471 x plus 230

y=230x+2,471y is equal to 230 x plus 2 comma 471

Answers

Answer:

y= 2,471x - 230y because each day he travels the same average distance of 230 miles

Answer:

230 miles that is the answer

help me pls. will mark brainliest

Answers

Answer:

(1,1) and (2,2)

Step-by-step explanation:

you have to locate points that will overlap with both shaded area

need help knowing if I got it right

Answers

Answer:

yeppp i got the same answer

Step-by-step explanation:

How do I do this? Help me please ​

Answers

Answer:

4.6 and 3.5 and 3.6.

Step-by-step explanation:

Because they have to be in a range between 3.7 and 4.3.

pls help asap! i will mark brainliest!

Answers

17 because 4+x lyes on the right axis meaning 4^.89=[-17] also known as 17

find x help meh pls
6 4/5=5/6x−3/12

Answers

I got a few not sure what you’re looking for

x=423/50
x=8 23/50
x=8.46

a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b

Answers

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

what is x-2y=3 and 4x-8y=12

Answers

Answer:

2y x5

Step-by-step explanation:

solve the equation 5(3x-1)=4(3x-2)

Answers

Answer:

x=-1

Step-by-step explanation:

15x-5=12x-8 Simplify Parentheses

3x=-3 Isolate the variable

x=-1 Divide by 3 on both sides

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

Our equation is

[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]

First, we distribute

Now we have

[tex]15x-5=12x-8[/tex]

Subtract [tex]12x[/tex] from both sides

[tex]3x-5=-8[/tex]

add [tex]5[/tex] to both sides

[tex]3x=-3\\[/tex]

Divide both sides by 3

[tex]x=-1[/tex]

Brainliest please

i need help with two questions please, guathmath doesn't seem to help!

Answers

The pink bar graph is 150

micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

Two thousand four hundred sixty-three tickets were sold for a 2-day basketball
tournament. For the first day of the tournament, 1,087 tickets were sold. How many
tickets were sold on the second day of the tournament?

Answers

Answer:

Step-by-step explanation:

1376!

Answer:

yeah it's 1367

Step-by-step explanation:

I did the math!!!!

Given:
A
B


A
C

AB

AC
and
B
E


C
E

.
BE

CE
.

Prove:

B
D
E


C
D
E
∠BDE≅∠CDE.

Answers

Answer:

∠ABC ≅ ∠DBE 

Step-by-step explanation:

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The triangle ΔABE is congruent to the triangle ΔACE. Then we have

AB = AC

∠BEA = ∠CEA

BE = CE

In triangles ΔDBE and ΔDCE, then we have

AB = AC                          (Given)

∠BEA = ∠CEA                 (Given)

DE = DE                           (Common sides)

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

HELLLP-
What is the location of the origin?
(0,0)
(1,1)
0
(10,10)

Answers

The origin is where the y axis and x axis meet which is (0,0)

Find the perimeter. Simplify your answer.

Answers

Answer:

32t

Step-by-step explanation:

parallelogram. two opposite sides r equal.

2(8t+2)+2(8t-2)

16t+4+16t-4

32t

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54

Answers

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

A circle has circumference 200π feet. What is the radius of the circle? please explainn​

Answers

Answer: 100 feet

Step-by-step explanation: Circumference is found using the formula C = 2πr. We can also use C = πd because diameter is two times the radius. Now that we know this, we can see that the diameter in your problem is 200 which means the radius is 200/2 or 100 feet. Hope this helps!

Would appreciate brainly <3

What is the area of this triangle NO LINks OR I WILL REPORT

Answers

Answer:

18 square inches

Step-by-step explanation:

Area of triangle = bxh/2

b=3, h=12

Area = 3x12/2

Area = 36/2

Area = 18 square inches

I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?

Answers

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

please help asap…………

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

Can someone explain or help me with this?

Answers

Answer:

Step-by-step explanation:

6085 rounded to the nearest hundred is 6100

51,672 rounded to the nearest ten thousand is 50,000

which temperature is lower -6 or 3

Answers

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

(3 questions for 50 points)PLZ HELP

Answers

Answer:

see explanation

Step-by-step explanation:

(10)

Since the triangles are congruent then corresponding sides are congruent, so

EF = BC , that is

4x - 1 = 19 ( add 1 to both sides )

4x = 20 ( divide both sides by 4 )\

x = 5

and

DE = AB , that is

y - 6 = 8 ( add 6 to both sides )

y = 14

-------------------------------------------------------

(11)

Since the triangles are congruent the corresponding angles are congruent, so

∠ K = ∠ Y , that is

3x - 37 = 41 ( add 37 to both sides )

3x = 78 ( divide both sides by 3 )

x = 26 , then

∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°

The sum of the 3 angles in Δ ZMK = 180° then

∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°

So

∠ A = ∠ Z

2y + 7 = 27 ( subtract 7 from both sides )

2y = 20 ( divide both sides by 2 )

y = 10

------------------------------------------------------------------------

(12)

Since the triangles are congruent the corresponding sides and angles are congruent

DG = BS

4x - 11 = 25 ( add 11 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

∠ T = 180° - (56 + 21)° = 180° - 77° = 103°

Then

∠ H = ∠ T

7y + 5 = 103 ( subtract 5 from both sides )

7y = 98 ( divide both sides by 7 )

y = 14

PLS ASAPPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Slope is 4.

y=4x + 1

Take coordinates (0,1) & (1,5)

Rise/Run

5-1/1-0 = 4

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Step-by-step explanation:

the same factor of one dimension or one line applies then for all dimensions or lines.

the length goes from 16 to 32 cm. that means it doubles.

so, we need to double also the width :

10.5 × 2 = 21 cm

therefore, the first answer option is correct.

Use the graph to identify the following: end behavior. for a branlist

Answers

Answer:

the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity

Step-by-step explanation:

Chance has hired a construction crew to renovate his kitchen. They charge $3.57 per square foot for materials and $122.22 per day
of labor. Chance spent $3,411.87 on the renovation. If the number of square feet is 251 more than the number of days it took for the
renovation, how long did the renovation take?

Answers

Im sorrry two sirrryyy

pls help me rnnn and dont u dare to put links

Answers

Answer:

g=4, h=2

Step-by-step explanation:

Answer:

[tex]g=4, h=2[/tex]

Step-by-step explanation:

First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20

Then, just divide 10h by 10 to get h alone. h=2

Plug it in 6g+8h=40

6g+16=40

 -16    -16

6g=24

g=4

So the answer is g=4, h=2

Have a great day! :))

please help and explain how to do it

Answers

m^9*m= m^10. m^10/m^5= ^10-^5=^5. So the answer is m^5
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