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Archy [21]
2 years ago
7

Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) a

nd log3(7) log3 (21/5)
Mathematics
1 answer:
Maslowich2 years ago
4 0

Answer:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

Step-by-step explanation:

Given

log_3(\frac{21}{5})

Required

Express in terms of log_3(5) and log_3(7)

log_3(\frac{21}{5})

Express 21 as 7 * 3

log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})

Apply law of logarithm

log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)

log_3(3) = 1. So, we have:

log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)

Rewrite:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

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Kim and Sam went to Mexico Restaurant for lunch. The total bill was $21.58. They decide to leave an 18% tip. How much will the t
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Answer:

$3.88

Step-by-step explanation:

You want to leave a 18% tip on a meal that cost $21.58.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $21.58 meal cost is.This is always done by multiplying 0.18 by $21.58, or 0.18 x $21.58=$3.88.

So, the amount of tip you are going to leave is $3.88.

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3 years ago
The dot plots below show the ages of students belonging to two groups of music classes:
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Step-by-step explanation:

8

4 0
2 years ago
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The expression 2.5 + 2t gives the cost, in dollars, of t tulips at a flower store. Joanna has $14.00.
Elena-2011 [213]

Answer:

5 tulips.

Step-by-step explanation:

Given:

The expression for the cost of the tulips is Cost=2.5+2t

Where, t is the number of tulips.

Now, Joanna has \$ 14.00.

So, number of tulips that can be bought with the above amount can be obtained by substituting \$ 14.00 for cost. This gives,

Cost=2.5+2t\\14=2.5+2t\\2t=14-2.5\\2t=11.5\\t=\frac{11.5}{2}=5.75 \approx 5.

As the number of tulips cannot be in decimals or fractions, so the maximum number of tulips that can be bought will be 5.

6 0
3 years ago
At McDonald's, a cheeseburger has 1/10 pound of meat. A quarter-pounder has 1/4 pound of meat. How much more meat is used for th
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Answer:

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1/4 - 1/10

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2 years ago
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The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number
murzikaleks [220]

Answer:

Number:3.75

Equation:7 x-9=3(x+2)

Step-by-step explanation:

Let the number be x.

According to the question,

7 x-9=3(x+2)

7 x-9= 3 x+ 6

7 x- 3 x= 9+6

4 x= 15

x=15/4

x=3.75

If you verify the answer you will get,

11.25=11.25

Thank you!

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3 years ago
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