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Math Help - Exponent/Logarithm Problem Solving Help

  1. #1
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    Exponent/Logarithm Problem Solving Help

    I have a couple of questions that i need help withh :
    1. Suppose a radio is playing loudly at a sound level of 80 decibels. What decibel level would make the radio sound one-fourth as loud?

    how are you suppose to start this question? you don't use the decibel scale do you?

    2. Show that a sound with d decibels has intensity E0(10)^(d/10), where E0 is the intensity of a sound with 0 decibels.

    I have no idea what that question is asking for. D:

    thanks in advance (:
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  2. #2
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    Quote Originally Posted by dondonlouie View Post
    I have a couple of questions that i need help withh :
    1. Suppose a radio is playing loudly at a sound level of 80 decibels. What decibel level would make the radio sound one-fourth as loud?

    how are you suppose to start this question? you don't use the decibel scale do you?

    2. Show that a sound with d decibels has intensity E0(10)^(d/10), where E0 is the intensity of a sound with 0 decibels.

    I have no idea what that question is asking for. D:

    thanks in advance (:
    1. E_0 denotes the socalled stimulus threshold.

    2. Have a look here: Weber
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  3. #3
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    but how would you solve the questions? i don't know how to set up the formula
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  4. #4
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    Quote Originally Posted by dondonlouie View Post
    but how would you solve the questions? i don't know how to set up the formula
    1. The noise of 80 dB is described by: E_0 \cdot 10^{\frac{80}{10}}

    2. The increased noise is described by: E_0 \cdot 10^{\frac{d}{10}}

    3. The ratio of both sound levels is:

    \dfrac{E_0 \cdot 10^{\frac{d}{10}}}{E_0 \cdot 10^{\frac{80}{10}}}=\dfrac54

    (Remark: \frac54 is one fourth more than 1)

    4. Solve for d.

    5. I'll leave the 2nd question for you.
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  5. #5
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    thanks (:
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