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erma4kov [3.2K]
3 years ago
14

Express in exponential form. log2(x)=3

Mathematics
1 answer:
igomit [66]3 years ago
3 0
The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
log_ab = y

This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
log_2x = 3 \rightarrow 2^{3} = x
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Why can you rewrite 4.7 as 4.70
N76 [4]
Because 4.7 is the "abbreviation" for 4.70 also 4.7 is the simplified version of 4.70 kind of like a fraction you 4 70/100 simplified is 4 7/10 or 4.7.
3 0
3 years ago
Read 2 more answers
Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb
melamori03 [73]

Answer:

Total number of dimes=6

Total number of nickels=12

Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

Total number of nickels=12

7 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0
3 years ago
I need help with this
BigorU [14]

no u can only buy 6, or u dont have enough money for 7

6 0
3 years ago
A building has a shadow that is 25 feet long. A person 6 feet tall cast a similar shadow. How long is the person's shadow?
mario62 [17]
Imagine the side of the building is one side to a triangle and the second would be from the top of the building to the point where the shadow ends and the third is from the base of the building to the point where the shadow ends. Just use the pythagoreon theorem to find stuff. I can't solve the problem you gave because you would need the height of the building
5 0
3 years ago
Read 2 more answers
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