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Readme [11.4K]
3 years ago
10

Exponential Form

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
6. 1/3
8. -4
9. -3
10. 1/6
klio [65]3 years ago
5 0
Loga n=z  ⇔a^z=n

Therefore:
3)log 1/4  1=0    ⇔(1/4)⁰=1
4)log 1/2  32 -5  ⇔(1/2)⁻⁵=2⁵=32

6)
log 27  3=n  ⇔ 27^n=3 
27=3³
(3³)^n=3  ⇒n=1/3    (3³)¹/³=3³/³=3¹=3

Answer: log 27  3=1/3

7)
log1/4 256=n  ⇔(1/4)^n=256
256=2⁸=4⁴
(1/4)^n=4⁴  ⇒n=-4       [ (1/4)⁻⁴=4⁴=256  ]

Answer: log1/4 256=-4

9)
log 10  0.001=n  ⇔  10^n=0.001
0.001=10⁻³
10^n=10⁻³  ⇒n=-3

answer: log 10    0.001=-3

10)
log 64  2=n  ⇔64^n=2
64=2⁶
(2⁶)^n=2    ⇒2(⁶n)=2¹ ⇒  6n=1  ⇒  n=1/6

answer: log 64    2= 1/6

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Circle O has a circumference of 36tt cm. what is length of the radius r
allochka39001 [22]

Answer:

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Step-by-step explanation:

Given parameters:

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Unknown

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Lets represent the radius by r

Solution

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Since the unknown is r, we make it the subject of the formula:

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3 0
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Lindsey earns $15 per hour for the first 40 hours she works in a week and 50% more for every hour over 40. How many hours did Li
solmaris [256]

Answer:

E. 55 hours.

Step by step:

Multiple $15x40, equals $600

Subtract $600 from $937.50, equals $337.50

50% more over 40 hours is $22.50

Divide $337.50 by $22.50, equals 15

Add 15 to 40, equals 45

So she worked 55 hours to get paid $937.50

7 0
3 years ago
Boyd’s dartboard is octagonal. Each side measures 9 in. He drew a copy of the board that was smaller by a scale factor 0.25.
Basile [38]
<span>The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.</span>
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2.300 in word form and the value of 3
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The 3 holds the value of Three Tenths.
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3 years ago
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