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Illusion [34]
3 years ago
11

How to change base of logarithms: Best answer gets 27 points and brainliest answer

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)


log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)


Log a /b = log a - log b

and 1/9 = 3^-2

log3 ((3^(1/3) ) - log3 (3)

-------------------------

log3 (3^-2)


log a^b  = blog a


1/3 log3 (3 ) - log3 (3)

-------------------------

-2log3 (3)

We know log3 (3) =1


1/3 (1) - 1

-------------------------

-2 (1)


1/3  - 1

-------------------------

-2


-2/3

------

-2

Copy dot flip

-2/3 * -1/2


1/3

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X+y= -9<br> x+2y= -25<br><br> According to the system of equations above, what is the value of y?
Varvara68 [4.7K]
Try this option:
if x+y=-9 is I (one)
and x+2y=-25 is II (two), then
if II-I, then (x+2y)-(x+y)=-25+9 ⇔ y=-16.
6 0
3 years ago
Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?
sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = \frac{6.25}{100}*23.90=\frac{149.375}{100}

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/11584312
  • brainly.com/question/116059

#LearnwithBrainly

3 0
2 years ago
(10 points) help needed for math
Whitepunk [10]
25 and 60 as the parallel lines means they have wth same gradient
5 0
3 years ago
Your model locomotive is 16 inches long. It is an exact model of a locomotive that is 40 feet long. A window on the locomotive i
Rasek [7]
The locomotive is 40 ft long.
40 ft = 40 * 12 in. = 480 in.
The locomotive is 480 inches line.
The model is 16 inches long.
480/16 = 30
The real locomotive is 30 times longer than the model.
A window on the locomotive is 30 times wider than a window on the model.
6 0
2 years ago
Read 2 more answers
Select the correct answer.
V125BC [204]

Answer:

R(x) = x + 9

Step-by-step explanation:

R(x) = x + 9 shifts the graph up 9 units.

6 0
3 years ago
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