All categories

3 years ago

Find the inverse of the function f(x)=8^x

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

6 0

Answer:

y = logx/log8

Step-by-step explanation:

To find the inverse of an equation, you switch the locations of x and y, then solve for y.

So in this case, f(x) = y, and your equation is:

y = 8^x

It would become

x = 8^y

There are multiple ways to solve this- one I usually use is logs, so you take the log of both sides.

log x = ylog8

(when you take the log of something the exponent becomes a coefficient)

Then, y = logx/log8

I hoped this helped!

You might be interested in

Angle 1 measure 75 degree what is its complement

dalvyx [7]

I think it’s 76 because I added it that’s a way i solved it but you can also multiple it by 1 and it will give the the same answer

3 0

3 years ago

A triangle has side lengths of (7.8v+2.6)(7.8v+2.6) centimeters, (5.3v+4.5)(5.3v+4.5) centimeters, and (2.4w-6.7)(2.4w−6.7) cent

Citrus2011 [14]

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

$Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)$

Now, combine like terms.

$Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)$

$Perimeter=13.1v+2.4w+0.4$

Therefore, the expression for perimeter, in centimeters, of the triangle is $13.1v+2.4w+0.4$ .

4 0

2 years ago

Help me out please!!

AleksAgata [21]

Step-by-step explanation:

1. $(fg)' = f'g + fg'$ (chain rule)

2 $f(x) = x^5\sin{x}$

$\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}$

5 0

2 years ago

The baker broke each of the cookies in half. She counted 6

densk [106]

Answer:

Step-by-step explanation:

6/2=3

six halves of cookies put the halves into pairs and you get 3

5 0

3 years ago

I need help pls help

Andreyy89

Answer:

[?] = 4

(the complete term is $4\frac{1}{2}\ \text{cups}$ )

Step-by-step explanation:

$8\ \text{cups} - 1\frac{1}{3}\ \text{cups} - 2\frac{1}{6}\ \text{cups} = (8-1-2)\ \text{cups} + \frac{-\frac{6}{3} - 1}{6}\ \text{cups} = 5\ \text{cups} + \frac{-3}{6}\ \text{cups} = 5\ \text{cups} + \frac{-1}{2}\ \text{cups} = 4\ \text{cups} + \frac{2 - 1}{2}\ \text{cups}$

7 0

2 years ago