If 2^x+4 = 2^3x-1, what is the value of x?

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer:

x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x = 4 + 1

2x = 5

x = 5/2

You might be interested in

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

3 0

3 years ago

Read 2 more answers

What is the approximate volume of a sphere with a radius of 6 cm? Use 3.14 to approximate pi and express your answer in hundredt

ikadub [295]

I think the answer is 1286.22

3 0

3 years ago

Read 2 more answers

Is 6/8 equal to 75 percent

slega [8]

6/8 is equivalent to 3/4, and 3/4=.75, and .75/100=75 percent. So yes, it is.