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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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I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
RoseWind [281]

Answer:

1. 2

2. 25

3. 1

4. 12

Step-by-step explanation:

what are both numbers in each set both divisible by? that is how to find GCF.

6 0
2 years ago
Read 2 more answers
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Vladimir79 [104]
Refer to the graph shown below. It confirms that points A, B and P are
 collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
   = 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
   = 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer:  2:1 ratio.

7 0
2 years ago
Evaluate the expression (6 + 9 ÷ 3) × 7.
Katarina [22]

Answer:

63

Step-by-step explanation:

(6+9÷3)×7

division is always first

(6+3)×7

then parenthesis

9×7

multiply

63

3 0
2 years ago
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The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
scZoUnD [109]

Answer:

324 cubic feet

Step-by-step explanation:

6 0
2 years ago
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14/2 three equivalent ratios
Anna71 [15]

Answer:

Three equivalent ratios of  \frac{14}{2} are \frac{7}{1}, \frac{21}{3} and \frac{28}{8}.

Step-by-step explanation:

We are given a fraction \frac{14}{2}.

We need to find the three equivalent ratios/fractions of \frac{14}{2}.

The common factor of 14 and 2 is 2.

So, dividing top and bottom by 2, we get

14÷2 = 7 and 2÷2 that is \frac{7}{1}.

Multiplying \frac{7}{1} fraction by a common number 3 in top and bottom, we get

7 × 3 = 21

1 × 3 = 6

So, we get another equivalent fraction \frac{21}{6}.

Multiplying \frac{7}{1} fraction by a common number 3 in top and bottom, we get

7 × 4 = 28

1 × 4 = 4

So, we get another equivalent fraction \frac{28}{4}.

Therefore, three equivalent ratios of  \frac{14}{2} are \frac{7}{1}, \frac{21}{3} and \frac{28}{4}.

6 0
3 years ago
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