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wolverine [178]
3 years ago
14

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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Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if
ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1  + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0
3 years ago
Read 2 more answers
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It would be 3/25 who are left handed and 22/25 who are right handed.

6 0
3 years ago
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Answer:

7. $8

8. coupons offer deals upfront, rebates only offer them after purchase, and sales are short times to drive sales

Step-by-step explanation:

7 work. best buy: 60 - 2 = 40     40 x 4 = 160

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7 0
3 years ago
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It is 25% okay bruv
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you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner
sashaice [31]

Answer:

6.5

Step-by-step explanation:

you take the sides all added up (which was 13in) and divided it by two

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