All categories

4 years ago

What is the solution to 2log9(x)=log^9(8)+log9(x-2)

2 answers:

3 0

2log9(x)=log^9(8)+log9(x-2)

Log₉x² = log₉8 + log₉(x-2)

Log₉x² = log₉(8×(x-2))

Log₉x² = log₉8x-16

Log₉x² - log₉8x-16 = 0

Log₉(x²/(8x-16)) = 0

x²/(8x-16) = 9°

x² = 1 × 8x-16

x²-8x+16 = 0

x²-4x-4x+16 = 0

x(x-4)-4(x-4) = 0

(x-4)(x-4) =0

Therefore x = 4.....

7nadin3 [17]4 years ago

3 0

Answer:

X= 4

Step-by-step explanation:

You might be interested in

Anwser true or false

m_a_m_a [10]

False because doing the math doesn’t match

6 0

3 years ago

Read 2 more answers

Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. E

babymother [125]

1. You have the following information:
<span>
- Maria has 8 1/2 quarts of soil.
- Each pot requires 3/4 quart of soil.
</span>
2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below:

8 1/2=8.5 quarts
3/4=0.75 quarts

3. Therefore, you have:

1 pot-----0.75 quarts
x-----8.5 quarts

x=(8.5x1)/0.75
x=11 pots
<span>
For how many pots does Maria have enough soil?
</span>
The answer is: 11 pots

8 0

3 years ago

How many solutions does 9x-18=3(3x-6) have?

spin [16.1K]

Answer: All Real Numbers Are Solutions

4 0

3 years ago

Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an

aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner

Or, $ 12 × c + $ 17 × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or, $ 12 × c + $ 12 × s = $ 84

Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84

Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = $\frac{25}{5}$

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵, c + s = 7

or, c = 7 - s

Or, c = 7 - 5

I.e c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2 Answer

5 0

3 years ago

Gillian read 3135 words in 19 minutes. Let w represent the words read each minute. If Gillian read the same number of words each

sweet [91]

Answer:

she read 165 words per minute

Step-by-step explanation:

if you tell us that Gillian read 3135 words in 19 minutes we can represent it as follows

19 m = 3135w

so now we have to find out how much I read in 1 minute, for this we have to divide both parts of equality by 19

19m = 3135w

19m/19 = 3135w/19

1m = 165w

she read 165 words per minute

5 0

3 years ago