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
____ [38]
3 years ago
15

4^x+2=1/2 solve for x (log equation)

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

\log_ab=c\iff a^c=b\\\\4^{x+2}=\dfrac{1}{2}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\(2^2)^{x+2}=2^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(x+2)}=2^{-1}\iff2(x+2)=-1\qquad\text{use distributive property}\\\\(2)(x)+(2)(2)=-1\\\\2x+4=-1\qquad\text{subtract 4 from both sides}\\\\2x=-3\qquad\text{divide both sides by 2}\\\\\boxed{x=-1.5}

You might be interested in
Number 5 please I beg.
gavmur [86]

Answer:

X = 25

Step-by-step explanation:

3 0
3 years ago
Hellllllllllllllllllllllllllp
GuDViN [60]

Answer:

sorry whats the question

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve algebraically<br> y=x^2 + 2x<br> y=3x+20
Zina [86]
This one looks very tricky but ill try it out
5 0
3 years ago
Read 2 more answers
find the probability if two dice are rolled. (enter the value of probability in decimals. round the answer to three decimal plac
spayn [35]

The probability of getting a total of 8 when two dice are rolled is 0.139.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be represented by proportions on a 0–1 scale.

A single die will have six sides with the numbers: 1, 2, 3, 4, 5, and 6. Each of these events is equally likely to occur if the dice are rolled fairly. So the probability of getting any side of the number is 1/6. Therefore, the probability of getting 1 in dice is 1/6, 2 is 1/6, and so on.

Therefore, the total possible outcomes are the multiplication of the total possible outcomes on dice 1 and dice 2, which is 36.

This possible outcome of rolling two dice is given by,

\left\{\begin{array}{ccccccc}(1, 1)&(1, 2)& (1, 3)&(1, 4)&(1, 5)&(1, 6)\\(2, 1)&(2, 2)&(2, 3)&(2, 4)&(2, 5)&(2, 6)\\(3, 1)&(3, 2)&(3, 3)&(3, 4)&(3, 5)&(3, 6)\\(4, 1)&(4, 2)&(4, 3)&(4, 4)&(4, 5)&(4, 6)\\(5, 1)&(5, 2)&(5, 3)&(5, 4)&(5, 5)&(5, 6)\\(6, 1)&(6, 2)&(6, 3)&(6, 4)&(6, 5)&(6, 6)\end{array}\right\}

The probability of getting a total of 8 from both dice is given by, (2, 6) (3, 5) (4, 4) (5, 3) (6, 2). So the number of favorable outcomes is 5 and the total outcome is 36. The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

The answer is 0.139.

The complete question is -

Consider rolling dice and getting a total of 8. Find the probability of two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places).

To know more about dice probability:

brainly.com/question/17239706

#SPJ4

8 0
1 year ago
‼️10 points‼️
kramer
The answer is d, hope this helps
8 0
3 years ago
Read 2 more answers
Other questions:
  • Rodrigo is sitting on the branch of an apple tree. He tosses an apple to a friend who is sitting on the ground.
    9·1 answer
  • A golf retailer purchases its clubs from a wholesaler at $38 per club. It sells the same clubs to golfers at $72 per club. What
    6·1 answer
  • Find the radius of sphere with a volume of 1372π/3 cubic feet.
    6·1 answer
  • 48x2 + 48xy2 + 12y4 =
    5·2 answers
  • A number is randomly picked from this list: 2 4 5 7 6 8 10. find out the probability of picking an even number
    7·1 answer
  • Somone help meeeeeeeee
    8·2 answers
  • What is the measure of YW?
    10·1 answer
  • ABCD is a quadrilateral with AB equal and parallel to DC. prove that AD is equal and parallel to BC​
    7·1 answer
  • The sum of 88 elephants and x<br> elephants is 145 elephants.
    14·2 answers
  • Who can helppp ?????!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!