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3 years ago

Log4(3x−2)=4.85 The 4 is a base. How do I solve this?

Mathematics

2 answers:

stealth61 [152]3 years ago

4 0

Answer:

x=1.070833

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x−2) = 4.85

(4) (3x) + (4) (−2) = 4.85 (Distribute)

12x + − 8 = 4.85

12x − 8 = 4.85

Step 2: Add 8 to both sides.

12x − 8 + 8= 4.85 + 8

12x=12.85

Step 3: Divide both sides by 12.

12x/12

12.85/12

x = 1.070833

Alex777 [14]3 years ago

4 0

Answer:

x = 277.915...

Step-by-step explanation:

$4^{4.85} = 3x -2 \\831.746... = 3x - 2\\x = 277.915...$

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Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.

Zina [86]

Answer:

4, 14, 14, 16

Step-by-step explanation:

Key skills needed: Casework, Mean, Median, and Mode

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

_ 14 14 _
_ 14 14 14

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

Hope you understood and have a nice day!! :D

5 0

3 years ago

Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the qua

lbvjy [14]

He started with 17 quarter's. He had a certain number of quarters he added to his collection each day, on day two he had 26, and two days later he had 35, meaning he increased the amount of quarters my 9 over two day's, so I subtracted 9 from 26 because if you do you can remove the quarters he added in from the ones he started with, so the answer is: He started with 17.

3 0

3 years ago

An airplane covers 3450 km in an hour. how much distance will it cover in 7 hours?

umka2103 [35]

Answer:

24,150km

Step-by-step explanation:

The plane travels 3450km in 1 hr, since we need the distance traveled in 7 hrs we need to multiply 3450 by 7.

distance in 7hrs: 3450*7 = 24,150km

4 0

2 years ago

Help me with mathhh?!!!!???

DedPeter [7]

Answer:

x = 1 1/4

Step-by-step explanation:

sqrt( 7x+2) = sqrt(3x+7)

Square each side

(sqrt( 7x+2))^2 = (sqrt(3x+7))^2

7x+2 = 3x+7

Subtract 3x from each side

7x-3x +2 = 3x+7-3x

4x+2 = 7

Subtract 2 from each side

4x+2-2 = 7-2

4x = 5

Divide by 4

4x/4 = 5/4

x = 1 1/4

Check for extraneous solution

sqrt( 7*5/4+2) = sqrt(3*5/4+7)

sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)

sqrt( 43/4) = sqrt(43/4)

Solution is valid

3 0

3 years ago

Kia paid $10 for two charms. The price of each charm was a multiple of $2. What are the possible prices for the charms?

Fiesta28 [93]

Kia paid 20$ for each of her charms

7 0

3 years ago

Read 2 more answers