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    Exponential and logarithm problems

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    Hello, I am having trouble with these 6 questions, can someone please help. The problems are attached.

    1-In the formula A = Iekt , A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 53% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.)
    4240 yr
    5079 yr
    2206 yr
    3760 yr

    2-Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x) = 100e-0.01657x . How much is remaining after 257 years? Round the answer to the nearest hundredth of a milligram.
    425.85 milligrams
    7070.31 milligrams
    1.41 milligrams
    0.01 milligrams

    3-Use a graphing calculator to predict about how many books will have been read in the eighth grade.

    1000
    2000
    3000
    500

    4-Write the logarithmic and exponential equations associated with the display.

    g(x) = ln x

    ln 3.5 = .54406804435; e.54406804435 = 3.5
    ln .54406804435 = 3.5; e3.5 = .54406804435
    ln 3.5 = 1.2527629685; e1.2527629685 = 3.5
    ln 1.2527629685 = 3.5; e3.5 = 1.2527629685

    5-Write the logarithmic and exponential equations associated with the display.

    f(x) = log x

    log .301029995664 = 2; 102 = .301029995664
    log .69314718056 = 2; 102 = .69314718056
    log 2 = .301029995664; 10.301029995664 =2
    log 2 = .69314718056; 10.69314718056 = 2

    6-Write the logarithmic and exponential equations associated with the display.
    f(x) = log x

    log 4 = .602059991328; 10.602059991328 = 4
    log .602059991328 = 4; 104 = .602059991328
    log 1.38629436112 = 4; 104 = 1.38629436112
    log 4 = 1.38629436112; 101.38629436112 = 4

    © BrainMass Inc. brainmass.com October 9, 2019, 10:28 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/exponential-logarithm-problems-221321

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    Solution Summary

    A step by step solution is provided to solve problems on exponential and logarithm functions.

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