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18 July, 19:58

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

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Answers (2)
  1. 18 July, 20:38
    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. 18 July, 23:57
    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
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