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Komok [63]
3 years ago
12

Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex

pression.See example 2.
In e^x^2
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

x^2

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

ln(e^{x^2})

all logs has base 'e'

Inverse property of log says that

ln(e^x)=x, the value of ln e=1

we apply this property in our problem. ln has same base 'e' .  ln and 'e' gets cancelled

ln(e^{x^2})

x^2

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A total of 31,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is
kupik [55]

Answer:

Bonds: $42,000

Certificates of deposit: $41,000

Step-by-step explanation:

Total invested = Amount in bonds + Amount in CDs

 

Amount in bonds = Amount in CDs + 1000

 

Let the amount in bonds = B and the amount in CDs = C

 

 

1. 83,000 = B + C

 

2. B = C+1000

 

Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).

 

83,000 = C + 1000 + C

 

Now, you can solve for C.

 

83,000 = 2C + 1000

82,000 = 2C

41,000 = C

 

You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.

4 0
3 years ago
Yo whats i lowkey cant think rn 3/4 times 2 ??
Lady_Fox [76]
6/4 or 1 and 2/4 thats a pretty easy question
6 0
3 years ago
Read 2 more answers
Log2x (2x^2+8x-6) =2
irinina [24]

Answer:

2x^3+8x^2-3x=0

Step-by-step explanation:

2x (2x^2+8x-6)=2\\multiply-all-in-bracets-by-2x\\4x^3+16x^2-6x=2\\devide-all-by-2\\2x^3+8x^2-3x=0

5 0
3 years ago
How can the statement be rewritten as a conditional statement in if-then form? A rectangle with 4 congruent sides is a square.
larisa86 [58]

Answer:

the answer is a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Ach equation:<br> - 5(– 2x - 4) + 5x - 4 =- 29
Zinaida [17]

- Multiply (-2x-4) by -5:

[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29

= 10x+20+5x-4=-29

- Combine Like Terms:

(10x+5x) + (20-4) = -29

15x+16=-29

- Subtract 16 from each side

15x+16 -16 = -29 -16

15x = -45

x = -3

3 0
3 years ago
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