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vova2212 [387]
3 years ago
15

Log2(3x-1) = log2 (x+8)

Mathematics
2 answers:
lisov135 [29]3 years ago
6 0

Answer:

If you need answers for the whole assignment

Step-by-step explanation:

1. Consider 8^x-4 = 8^10

Because the (blank a) are equal , the (blank b) must also be equal.

Answer: Bases, Exponents

The solution to the equation is 14

2.What equation is equivalent to 9^(x-3)=729?

Answer 3^x - 3 = 3^6

Solve: 9x - 3 = 729

Answer: x = 6

3. To solve 5(2^x+4)=15, first divide each side by

Answer: 5

Solve 5(2^x+4) = 15. Round to the nearest thousandth.

Answer: -2.415

4. Which of the following is the solution of 5e^2x- 4 = 11?

Answer: x=In3/2

5. Select all of the potential solution(s) of the equation 2log5x = log54.

Answer: 2,-2

What is the solution to 2log5x = log54?

Answer: 2

6. Which equation is equivalent to log5x3 - logx2 = 2?

Answer: 10^log5^3/x^2=10^2

Solve: log5x3 - logx2 = 2

Answer: 20

7. What is the solution to ln (x2 - 16) = 0?

Answer: x=+-(17)

8. Solve: ln 2x + ln 2 = 0

Answer: ¼

Solve: e^ 2x+5 = 4

Answer: x=(In4) - 5/2

9. Consider the equation log(3x - 1) = log2(8). Explain why 3x - 1 is not equal to Describe the steps you would take to solve the equation, and state what 3x - 1 is equal to.

Answer: The bases are not the same, so you cannot set 3x - 1 equal to 8.You can evaluate the logarithm on the right side of the equation to get .You can use the definition of a logarithm to write 3x - 1 = 1000.

10. An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answer: 8

Keith_Richards [23]3 years ago
4 0

Answer:

X= 9/2  

Alternative form

x=4 1/2, x=4.5

Step-by-step explanation:

*= Multiply

1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)

2. then divide both side by log (little 10 under (2))

3. 3x-1=x+8

4. move variable to the left side and change its sign

5. 3x-x-1=8

6. then move constant to the right side and change its sign

7. 3x-x=8+1

8. collect like terms

9. 2x=8+1

10. add 8+1

11. 2x=9

12. then divide both sides by 2

13. 2/2 9/2

14. 2/2 cancels out so x=9/2 is the answer

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Omar wants to purchase a bike helmet for 22.55 and a bike for 134.45.
noname [10]

Answer:

$169.96 dollars

Step-by-step explanation:

Given the following questions:

8.25% of 22.55 and 134.45

In order to find the answer, we will have to add the initial costs of the items together, then we will calculate using the formula for percentages to find the tax rate.

22.55+134.45=157
157

<u>Calculate the percentage:
</u>\frac{p\times c}{100}
\frac{8.25\times157}{100} =8.25\times157=1295.25\div100=12.9525
=12.9525
12.9525
2 < 5
=12.96

<u>Add the sales tax:</u>
157+12.96=169.96
=169.96

Which means the two items along with an 8.25% sales tax costs "$169.96 dollars."

Hope this helps.

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2 years ago
Which equation is a function of x?
lana [24]

Answer:

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Step-by-step explanation:

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If you are driving on the freeway at 55 mph and you travel for 5 hours, how far will you have gone?
alina1380 [7]
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The recipe for a Bach of brownies calls for 1/3 cup of oil. You only want to make 1/4 of a Bach . How much oil do you need
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