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katrin [286]
3 years ago
15

Write the expression as a single natural logarithm. 3ln3 + 3lnc

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
Using the rules of logarithms, you can change it to 

ln(3^{3}) + ln(c^{3}) = 

ln(27c^{3})

This is because when you have a factor in front of a logarithm, that turns into an exponent, and when you add logarithms, you multiply the factors inside of the logarithm.  

So your final answer is D.
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To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 oz of red tone, 3/4 oz of gray
nadezda [96]

Answer:

We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:

1 1/8x + 3/4x + 5/8x = 20

2 1/2x = 20

x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.

5 0
3 years ago
What is purpose of the underlined part of the sentence​
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I can’t see what the underlined word is
3 0
3 years ago
A G.P has its 3rd term and 7th term as 45 and 3645 respectively. what is the product of its 2nd and 4th
Ede4ka [16]

Answer:

2,025

Step-by-step explanation:

Given:

Third term ar² = 45

Seventh term ar⁶ = 3,645

Find:

ar x ar³

Computation:

From 7th term / 3rd term

ar⁶ / ar² = 3,645 / 45

r⁴ = 81

r = 3

So,

ar² = 45

a(3)² = 45

a = 5

So,

ar x ar³

(5)(3) x (5)(3)³

2,025

3 0
3 years ago
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FromTheMoon [43]
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5 0
3 years ago
For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for
faltersainse [42]

Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20        

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

7 0
2 years ago
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