Ask Question
19 January, 19:32

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

+4
Answers (2)
  1. 19 January, 19:40
    0
    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
  2. 19 January, 22:30
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Log2 (3x-1) = log2 (x+8) ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers