Solve the inequality for x

8^x>24

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.

Solution

log(8)^x > log 24        Logs lets you bring down x and multiply it by log24

x log 8 > log 24         Be careful what you do next. Don't use log 3

x > log(24)/log(8)

x > 1.3802/0.9031

x>1.5284

As wrong as this may look, it is correct.

Check it

8^1.5284 = 24.00395

The difference is that 1.5284 has been rounded just a slight bit.


Related Questions

A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

2/10 of a foot long.

Step-by-step explanation:

Answer:

The first fish was 1/3 of a foot longer.

mark me brainlest

Step-by-step explanation:

1/2=3/6

3/6>1/6

3/6-1/6=2/6

2/6 / 2/2

1/3

please help with this problem

Answers

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

Nine. I think I’m not sure

PLEASE HELP FAST!!
Write the equation of a line through the points (-1, 3) and (2, -5). (Write in Slope-Intercept form) (Hint: calculate the slope first.)

Answers

Answer:

The slope is -8/3

Step-by-step explanation:

Answer:

This answer is A

Step-by-step explanation:

i got you bro, im quick

54) The two-way table below shows the number of hours students studied and whether they studied
Independently or with a study group. What is the relative frequency of students that studied
Independently for more than 2 hours to the total number of students that studied independently?

Answers

Answer:

6

Step-by-step explanation: not 6

The sum of three consecutive integers is -27 what is the product of the smallest and largest of the three integers?

Answers

Answer:

80

Step-by-step explanation:

Can somebody help me with one of these i literally don’t get it.

Answers

Answer:

basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

PLEASE HELP ASAP!!


What is the value of x?
Enter your answer in the box.

Answers

Answer:

5

Step-by-step explanation:

[tex]x^{2} +12^{2} = 13^{2} \\ x^{2} =13^{2} -12^{2} \\ x^{2} =169-144\\ x^{2} =25\\ \sqrt{x^{2} } =\sqrt{25} \\ x=5[/tex]

SOMEBODY HELP ME PLEASE

Answers

Answer:

90

Step-by-step explanation:

9*6=54

54*5= 270

270/3=90

Triangle a need to be rotated in a 90 degrees counterclockwise

Pick the correct triangle for 90 degree counterclockwise

1.B
2. C
3. D

Answers

Answer:The answer is D

Step-by-step explanation:

Can someone please help me with this math problem? Please.



Simplify the expression:(2x-3y)^2/(3y-2x)^2 Ava simplified the expression and said that the value is -1. (2x-3y)^2/(3y-2x)^2 (2x-3y)^2/-(2x-3y)^2 and then she has both of them crossed out (2x-3y)^2/-1(2x=3y)^2 =-1 Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.

Answers

Answer:

Ava is incorrect

Step-by-step explanation:

Given

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]

Required

Determine if Ava is correct or not

Ava's solution is incorrect and the proof is as follows;

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]

Apply the following law of indices;

[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]

Rewrite the numerator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]

Cross out the common factor of the numerator and denominator

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]

[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]

Hence, the solution is 1; not -1

Her mistake is that, she did not apply the square on -1, after she factorize the denominator

Answer:

incorrect

Step-by-step explanation:

On a road map 1
inch represents
1,500 miles. How
many miles
represent 4 inches?

Answers

Answer:

6000 miles

Step-by-step explanation:

1 in = 1500 miles

4 in = ___ miles

We simply just multiply 1500 and 4

1500 x 4 = 6000

4 in = 6000 miles

Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?

Answers

Answer: 1,820 Pushups

Step-by-step explanation: 29+36=65

65 x 7 (days in a week)=455

455 x 4(as in the 4 weeks)=1,820 Pushups total

I hope this helped! let me know if you need more help! :)

IS THIS RIGHT IM NOT SURE ?

Answers

Answer:

yes

Step-by-step explanation:

Yes it’s correct good job

In AGHI, the measure of ZI=90°, the measure of ZG=5°, and IG = 57 feet. Find the
length of GH to the nearest tenth of a foot.

Answers

Answer:

The answer is 57.2

This is correct

Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?

Answers

Answer:

5

Step-by-step explanation:

this can be solved using simultaneous equation

2a + 3b = 19  equation 1

1a + 4b = 17    equation 2

Multiply equation 2 by 2

2a + 8b = 34  equation 3

Subtract equation 1 from 3

5b = 15

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

2a = 10

a = 5

Answer:

Step-by-step explanation:

2a + 3b = 19 equation 1

1a + 4b = 17 equation 2

Multiply equation 2 by 2

2a + 8b = 34 equation 3

Subtract equation 1 from 3

5b = 15

b = 3

Substitute for b in equation 1

2a + 3(3) = 19

2a = 9 = 19

2a = 10

a = 5

4(b-2)-10=2(b+3)
B=
PLEASE HELP ME!!!! Show work too

Answers

Answer:

B = 12

Step-by-step explanation:

Give Brainllest plz

Marking brainliest!!

What are the factors of 391, and how did you find them?

Answers

Answer:

1, 17, 23, 391

Step-by-step explanation:

17x23 or 1x391

The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]ABD = 0.18x +67[/tex]

[tex]CBD = 0.07x + 48[/tex]

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

[tex]0.18x + 67 = 0.07x + 48[/tex]

Collect like terms

[tex]0.18x - 0.07x= - 67 + 48[/tex]

[tex]0.11x= -19[/tex]

Solve for x

[tex]x = -\frac{19}{0.11}[/tex]

[tex]x = -172.72[/tex]

Assume ABD and CBD are supplementary

The solution is:

[tex]ABD + CBD=180[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]

[tex]0.25x = 65[/tex]

Solve for x

[tex]x = \frac{65}{0.25}[/tex]

[tex]x = 260[/tex]

Assume ABD and CBD are complementary

The solution is:

[tex]ABD + CBD=90[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]

[tex]0.25x = -25[/tex]

Solve for x

[tex]x = \frac{-25}{0.25}[/tex]

[tex]x = -100[/tex]

what is the interest earned for $5,000 compounded annually for 4 year at 6%.

Answers

Answer:

Step-by-step explanation:

Consider this right triangle with given measures.

What is the length of the missing leg?

Answers

Answer:

The answer is 6 feet.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the solution to the inequality (21+5) >1?

Answers

Answer:

True

Step-by-step explanation:

(21+5) >1

Simplify 21+5

26>1

Therefore the solution is

True

Helped by none other than the #Queen herself #DRIPPQUEENMO

Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer

Answers

Answer:

Parallelogram

Step-by-step explanation:

Prove using diagram on graph paper (attached drawing)

find the value of x
−8(x−6)=32

Answers

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

Answer:

x = 2

Step-by-step explanation:

Divide both sides :

−8(x−6)=32

Divide both sides of the eqaution by -8 :

x - 6 = -4

Move the constant to the right :

x - 6 = -4

Move the constant to the right - hand side and change its sign :

x = -4 + 6

Calculate :

x = -4 + 6

Calculate the sum :

x = 2

Therefore, the answer is x = 2

60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.

B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.

Answers

Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?​

Answers

Answer:

since 7 feet is 2.1336

aproximatly would be 2.08 rounded 2 meters

Step-by-step explanation:

I need help on this math problem quickly!!

Answers

the second oneeeeeeeee

2(3v - 8)
please help xxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer: 6 v − 16

Step-by-step explanation:

The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3

Answers

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

The perimeter of a square is given as 8x+20 expression

Answers

Answer:

wow that hard even i dont know how to do that

Step-by-step explanation:

sorry

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