1.Find the exact solution to the equation.(2 points)

log base four of x equals two.

Answers

Answer 1
Answer:

Answer:

x = 16

Step-by-step explanation:

The equation is \log_(4) x = 2

Now, converting this logarithmic equation into exponential equation, we get

x = 4^(2) = 16(Answer)

Alternate solution:

Given,\log_(4) x = 2

\log_(4)x = 2\log_(4)4

{Since, we know that \log_(a)a = 1}

\log_(4)x = \log_(4)4^(2) = \log_(4)16

{Since, a\log b = \log b^(a) is a property of logarithm}

Cancelling log from both sides we get,

⇒ x = 16 (Answer)

Answer 2
Answer:

Answer:

x = 8^4

Step-by-step explanation:

hey there,

< Here is what is given:

_(8) x=4

There's actually a lot of different ways you can remember this but the way I remember this is x is equal to 2nd to the power of last.

So 8 is the 2nd (since log is first), 4 is last (very last thing in the equation).

x = 8^4

You can use any of your own ways to remember this, but this is just my personal way. :) >

Hope this helped! Feel free to ask anything else.


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Write 3 fractions that are equivalent to 9/15 (9 over 15) with work shown?

Answers

9 / 15

9 / 3 = 3

15 / 3 = 5

so 3 / 5

60/100

6/10

(3/5) cubed Please explain to me how you would do this

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

 It would be done in the same way it would if it was an integer ;

think of it as two separate parts

(3/5)^3 = 3/5 * 3/5 * 3/5

Calculate the top half, then the bottom half and put them together

3 * 3 * 3 = 27

5 * 5 * 5 = 125

Thus, your answer will be 27/125

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

ʜᴀɴɴᴀʜ ♡

Benjamin collected 4 times as many bags as his friend. If his friend collected 2/5 of a bag, how much did Benjamin collect? Write the answer as a mixed number.

Answers

Answer:

1  3/5 bags

Step-by-step explanation:

Benjamin = 4 * Friend

Benjamin = 4 * 2/5

Benjamin = 8/5

Convert to mixed number:

8/5 = 1  3/5

Hope this helps :)

Which graph shows triangle <-4,2> (ABC)

Answers

Answer:

there is no graph to look at. please add the graph

Step-by-step explanation:


Answer:

I have a copy of the graph. Also attached are the choices?

Step-by-step explanation:

A Coffee table was $129.99 and on sale for 20% off. The sales tax is 8.5%. How much do we save?

Answers

Answer:

Step-by-step explanation:

Discount = 20% of 129.99

=(20)/(100)*129.99\n\n=25.998

= $26

Price after discount = 129.99 - 26 = $103.99

Tax = 8.5% of 103.99

=(8.5)/(100)*103.99\n\n=8.83915

= $8.84

Selling price including tax = 103.99 + 8.84

                                           = $112.83

Amount saved = 129.99 - 112.83

                        =$ 17.16

Answer:

We save 16.18 dollars.

Step-by-step explanation:

First, I did calculations on how much money there would be with the discount.

129.99 times 0.2 equals 25.1 [So with the discount, I got 25.1 dollars off.]

129.99 - 25.1 = 104.89 [so with the discount, I just have to pay 104,89, now,]

Now, I did the calculations WITH the SALES TAX.

104.89 times 0.085 equals 8.92 [ so tax is actually 8.92 dollars.]

104.89 + 8.92= 113.81 [ SO, with TAX, the table costs 113.81.]

Now I see how much money I have saved.

104.89 - 113.81 = 16.18

If you still don't get how I got my answer, just ask more questions to me! =)

Photo included find the value. Of x and y

Answers

Because the shape is a parallelogram, LM and PN have the same length. 
Therefore, y+8=5y
8=4y
y=2

Parallelograms have a total angle measure of 360 degrees. Opposite angles have the same measure, and angle MLP and LPN add up to 180 degrees.
Therefore, 2x-8 + 4x=180
6x-8=180
6x=188
x=31.3

This means that the correct option is A.
Opposite sides are equal in length in a parallelogram. Make LM and NP equal to each other in an equation.

y + 8 = 5y
Subtract y from both sides.

8 = 4y
Divide both sides by 4.

y = 2

∠L and ∠P are same-side angles, so that means they both add up to 180°. Make them add up to 180 in an equation.

4x + 2x - 6 = 180
Combine like terms.

6x - 6 = 180
Add 6 to both sides.

6x = 186
Divide both sides by 6.

x = 31

The answer is A) x = 31, y = 2.