1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ella [17]
3 years ago
5

Hi, how's everyone doing? I need help with these exponential equations, please. Thanks! :)​

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

Step-by-step explanation:

1). 2^{x^{2} +2x}=\frac{1}{2}

  2^{x^{2} +2x}=2^{-1}

  Comparing exponents on both the sides.

  x² + 2x = -1

  x² + 2x + 1 = 0

  (x + 1)² = 0

  x = -1

2). 2^{x-3}=8^{x+1}

  2^{x-3}=(2^{3})^{x+1}

  2^{x-3}=(2)^{3(x+1)}

  By comparing exponents,

  x - 3 = 3(x + 1)

  x - 3 = 3x + 3

  3x - x = 3 + 3

  2x = 6

  x = 3

3). \sqrt{a^{5-k}}=a^{3-k}

   a^{\frac{5-k}{2}}=a^{3-k}

   By comparing exponents,

   \frac{5-k}{2}=3-k

   5 - k = 2(3 - k)

   5 - k = 6 - 2k

   2k - k = 6 - 5

    k = 1

4). 3^{x+3}=27^{(2x+6)}

    3^{x+3}=(3^3)^{2x+6}

    3^{x+3}=(3)^{3(2x+6)}

    By comparing exponents,

    x + 3 = 3(2x + 6)

    x + 3 = 6x + 18

    6x - x = 3 - 18

    5x = - 15

    x = -3

5). 5^{x-2}=1

    5^{(x-2)}=5^{0}

    x - 2 = 0

    x = 2

You might be interested in
Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is correct)
Basile [38]

Answer:

40 {}^{ \frac{1}{2} }

Step-by-step explanation:

The last one is also the answer

Using the rational exponet rule,

\sqrt[n]{ {x}^{m} }  = x {}^{ \frac{m}{n} }

Using this number,

\sqrt{40}

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

40 {}^{1}  = 40

so our numerator is 1 so

40 {}^{ \frac{1}{2} }

3 0
3 years ago
Whats 0 divide 0 i really want to know
Gelneren [198K]

Answer

N/A

Step-by-step explanation:

lets take a step into our imaginations, ok?

So when you divide, you're basically splitting the numerator into as many parts as the denominator.

imagine you have a chocolate bar, and it has 6 pieces and you want to split it evenly between your 3 friends.

you split it into three equal parts to get 2 pieces per person.

When you divide 0 by 0, your splitting 0 chocolate bars into 0 equal portions, which is why this problem isn't solvable.

4 0
3 years ago
Let f(x) = 3x+5 and g(x) = x^2. Find g(x)/f(x) and state its domain
lianna [129]

Answer:

1/x-2; domain is the set of all real numbers except 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon​
Margaret [11]

Given that

The cost of 1 m ribbon = Rs.75

The cost of 7/5 m ribbon

→ (7/5)×75

→ (7×75)/5

→7×15

→₹ 105

The cost of 7/5 m ribbon is ₹105.

8 0
2 years ago
I have a question that says " jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book?"
jok3333 [9.3K]

Answer and Step-by-step explanation:

To solve, we would multiply by the reciprocal of the portion Jada has read, and multiply that number to 75.

The reciprocal means the the value, but flipped, so \frac{3}{5} will become \frac{5}{3}.

Now we do 75 times \frac{5}{3}/

\frac{75 * 5}{3} \\\\\\\\\frac{375}{3} \\\\\\\\125

So, there are 125 total pages in the book.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0
2 years ago
Other questions:
  • josh and his friends are going to the carnival. hot dogs cost $1.50 each and drinks are $0.75 each. they have a total of $12 to
    5·1 answer
  • How would I solve (x-3)(3x+5)
    9·1 answer
  • What is the quotient off 11/4 and 31/2?​
    6·1 answer
  • .Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of
    9·1 answer
  • Which is larger 1000 feet or 300 yards?
    12·1 answer
  • Which expression gives the measure of XYZ?
    11·1 answer
  • Bobby set a goal to earn $1,500 in commission in June. He earns 10% commission for all of his sales. How much merchandise will h
    10·1 answer
  • What is the answer to that
    11·1 answer
  • Please Help!!! All my points are on this.
    11·1 answer
  • Don't understand letter K can u write the equation of the described function in standard form
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!