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rosijanka [135]
3 years ago
14

Solve by completing the square:

Mathematics
1 answer:
laiz [17]3 years ago
8 0
The answer is 4 trust me bro
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Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = b^{x}, then log_{b}(y)=x

2. log_{b}(y) = \frac{log(y)}{log(b)}

Use the rules above to solve the problem

∵ 4^{x}+2=12

- Subtract 2 from both sides

∴ 4^{x}=10

change the exponential equation to logarithmic equation

∴ log_{4}(10)=x

∵ log_{4}(10) = \frac{log(10)}{log(4)}

∴ x = \frac{log(10)}{log(4)}

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

#LearnwithBrainly

6 0
4 years ago
The equation for the circle below is x^2+y^2=64 what is the length of the circle’s radius
FromTheMoon [43]

Answer:

<h2>r = 8</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the equation:

x^2+y^2=64\\\\(x-0)^2+(y-0)^2=8^2

Therefore the center is (0, 0) and the radius r = 8

3 0
3 years ago
Festus bought a computer at $736.34, Apple iPad at $249.99, and a printer at 381.23. The sales tax rate is %6. What is the total
tatuchka [14]

The total purchase price including sales tax will be $1449.6136

<em><u>Explanation</u></em>

Festus bought a computer at $736.34, Apple iPad at $249.99 and a printer at $381.23

So, the <u>total price of all three items</u> =(736.34+249.99+381.23) dollar = 1367.56 dollar.

The sales tax rate is 6%. So, <u>the amount of sales tax</u> =(1367.56*0.06) dollar= 82.0536 dollar.

Thus, the total purchase price including sales tax will be:  (1367.56 + 82.0536) dollar = 1449.6136 dollar

6 0
3 years ago
I’m this geometric sequence, what is the common ratio
Marrrta [24]
ANSWER:

D. - 1 / 2

This is as 104 ÷ - 52 = - 1 / 2

As well as this, - 52 ÷ 26 = - 1 / 2

And this ratio applies for the other numbers in the sequence as well.

Therefore, the answer must be - 1 / 2.

Please mark as brainliest if you found this helpful! :)
Thank you <3
4 0
3 years ago
-1y + 11= 20 what is the answer 3 or -3
yan [13]

Answer:

-9

Step-by-step explanation:

-1y+11=20

    -11= -11

-1y=20-11

-1y=9

-9

8 0
3 years ago
Read 2 more answers
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