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asambeis [7]
3 years ago
14

Solve 4^(x+2) = 12 for x using the change of base formula log base b of y equals log y over log b.

Mathematics
2 answers:
nalin [4]3 years ago
8 0

Answer:

x=ln(12)/ln(4)-2

Step-by-step explanation:

4^(x+2)=12

x+2=ln(12)/ln(4)

x=ln(12)/ln(4)-2

Lelu [443]3 years ago
7 0

Answer:

x \approx -0.208

Step-by-step explanation:

By applying logarithms to each side of the equation and some algebraic handling:

x+2 = \log_{4} 12

x + 2 = \frac{\log_{10} 12}{\log_{10} 4}

x = \frac{\log_{10}12}{\log_{10}4} - 2

x \approx -0.208

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A man buys 3 chicken sandwiches at 2.75 each and 2 cokes at 1.19 and the tax is $0.64. he gives you 11.52. how much change shoul
Artist 52 [7]

3 chicken sandwiches at $2.75 each: 3*2.75= 8.25


2 cokes at 1.19: 2*1.19= 2.38


Tax: 0.64


8.25+2.38+0.64= 11.27


He gives you 11.52, to find how much you need to give him back, subtract how much he gives you by the amount that is charged (11.27)


11.52-11.27= $0.25

3 0
3 years ago
Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu
Reptile [31]
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.
4 0
3 years ago
Three distinct lines, all contained within a plane, separate that plane into distinct regions. what are all of the possible numb
BlackZzzverrR [31]

The solution is attached as a word file.

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3 0
3 years ago
PLEASE, I REALLY NEED YOUR HELP!!
Delicious77 [7]

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

7 0
3 years ago
Question 10 of 21
PSYCHO15rus [73]

<u>ANSWER</u>

A. (4,12)

<u>EXPLANATION</u>

The equations are:

10x +2y = 64...(1)

and

3x - 4y = -36...(2)

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

20x + 4y = 128...(3)

We add equations (2) and (3).

3x + 20x + 4y - 4y =  - 36 + 128

23x = 92

Divide both sides by 23

\frac{23x}{23}  =  \frac{92}{23}

x = 4

Put x=4 into equation (1).

10(4)+2y = 64

40+2y = 64

2y = 64 - 40

2y = 24

\frac{2y}{2}  =  \frac{24}{2}

y = 12

The solution is (4,12)

6 0
3 years ago
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