All categories

2 years ago

Can some1 explain to me how to do this

Mathematics

1 answer:

Leokris [45]2 years ago

8 0

Answer:

-5 = log₄(0.0009765625)

4 = log₄(256)

Step-by-step explanation:

Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...

x = log₄(y)

Taking antilogs, this is ...

y = 4^x

For x =-5, the log expression would be ...

y = 4^-5 = 0.0009765625

log₄(0.0009765625) = -5

For x = 4, the log expression would be ...

y = 4^4 = 256

log₄(256) = 4

You might be interested in

Simplify (4x– 4)– 3 A. -1/2x^4 B. -8x^12 C. -64x^9 D. x^12/64

marysya [2.9K]

$Use:(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\left(4x^{-4}\right)^{-3}=4^{-3}(x^{-4})^{-3}=\dfrac{1}{4^3}x^{-4\cdot(-3)}\\\\=\dfrac{1}{64}x^{12}=\boxed{\frac{x^{12}}{64}}$

Answer: D. x^12/64

3 0

3 years ago

Read 2 more answers

Joey "Goodfella" Branzolli liked to shuffle music as a disk jockey. He had 80 CDs, which were rock and rap CDs. He bought his CD

AveGali [126]

Answer: there has to be 52 rock (4 each) which equals to 208, and 28 rap (3 each) which equals to 84, and 84 + 208 = $292

Step-by-step explanation:

8 0

3 years ago

If I eat 5 skittles in 1/4 (quarter) of a minute, how many skittles can I eat in 1 minute

Cloud [144]

Answer: 20

Step-by-step explanation:

8 0

3 years ago

Find the area of this parallelogram. 13 cm 15cm h 20cm

Margaret [11]

Answer:

260 square centimeters

Step-by-step explanation:

The formula for the area of a parallelogram is:

b x h

Where the base (b) is multiplied by the height (h) perpendicular to it.

The base here is 20 cm

The height perpendicular to the base is 13 cm

20 x 13 = 260

Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!

Hope this helps!

7 0

3 years ago

Read 2 more answers

What is the justification for the step taken from line 2 to line 3?

natima [27]

Answer:

They subtracted 2x from both sides.

Step-by-step explanation:

They removed 2x from each side because in order to find x it will have to be removed on one side. Since 2x - 2x = 0 it is 2x is out of the equation for the right side and on the left side -2x -(-4x) = -6x which means that there is one x variable left in the equation thus making it solvable.

5 0

3 years ago