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2 years ago

Determine the value of x

Mathematics

1 answer:

Tomtit [17]2 years ago

4 0

Answer:

the value of x is 80

Step-by-step explanation:

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Find the value of x. log 2 x = 3 A. 5 B. 6 C. 8 D. 9

Nataly_w [17]

Answer: Option C

$x =8$

Step-by-step explanation:

To solve this problem use the properties of the logarithms.

We know that the inverse function of $y = log_2 (x)$ is $y = 2 ^ x$ .

So when composing the function with its inverse function we have to:

$2 ^ {log_2 (x)} = x$ .

Now apply this property on both sides of the equation

$log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8$

the answer is the option C

4 0

3 years ago

Read 2 more answers

Ya'll fr get 50 points if you answer this. What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore does not have a constant rate of change. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

8 0

2 years ago

•Use the Pythagorean Theorem c^6 = a2+ b2 •Show you work to find each missing side •

zhannawk [14.2K]

Answer:

hypotenuse = 10

Step-by-step explanation:

If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.

If not,

a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

6 0

3 years ago

What is the surface area of a cube in which each face of the cube has an area of 7 cm^2?

prisoha [69]

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!

4 0

3 years ago

Plssss helppp me plsss

adelina 88 [10]

6 I think but maybe 1

4 0

3 years ago

Read 2 more answers