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solniwko [45]
3 years ago
8

What is the answer to 2log3(x)=4?

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

x ≈ 4.19180

Step-by-step explanation:

2 log 3(x) = 4

2 log(3)(x) = 4

Divide both sides by 2log (3) to isolate x by itself

\frac{2log(3)(x)}{2log(3)} = \frac{4}{2log(3)}

x = \frac{4}{2log(3)}

or x ≈ 4.19180

using a calculator you can write the answer as a rounded number

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Alyssa, Bart and Meghan are
adoni [48]

Hi,

Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as:  5p + 3p + 2p = 140,000  -->  10p = 140,000 --> 10p/10 = 140,000/10  -->  x = 14,000.

Alyssa gets 5p or (5 x 14,000)

Bart gets 3p or (3 x 14,000)

Meghan gets 2p or (2 x 14,000)

If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.

3 0
2 years ago
A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Lerok [7]

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

<u>To calculate the sale price of the sweater, we need to use the following formula:</u>

<u></u>

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

8 0
3 years ago
140 fluid ounces increased by 45%
Radda [10]
100\%\ increased\ by\ 45\%=100\%+45\%=145\%\\\\method\ \#1\\\\p\%=\frac{p}{100}\to145\%=\frac{145}{100}=\frac{145:5}{100:5}=\frac{29}{20}\\\\145\%\ of\ 140=\frac{29}{20}\cdot140=29\cdot7=\boxed{203\ (ounces)}\leftarrow answer


method\ \#2\\\\\begin{array}{ccc}140&-&100\%\\x&-&145\%\end{array}\ \ \ cross\ multiply\\\\\\100\cdot x=140\cdot145\ \ \ \ |divide\ both\ sides\ by\ 100\\\\x=\frac{140\cdot145}{100}\\\\\boxed{x=203\ (ounces)}
4 0
3 years ago
Need help with 9 please
Debora [2.8K]

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

6 0
3 years ago
8g+10=35 + 3g math 1
lilavasa [31]

Answer:

g= 5

Step-by-step explanation:

8g+10 = 35 + 3g

-3g                -3g

5g+10=35

    -10  -10

5g= 25

now divide 5 from both sides

5g/5= 25/5

g= 5  

5 0
3 years ago
Read 2 more answers
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