Exam 12: Exponential and Logarithmic Functions

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The amount of light, P, expressed as a decimal, passing through a substance of thickness d, in meters, is given by the equation log P = -kd, where k is a constant. The constant k for a piece of stained glass is 17. What percent of light will pass through a piece of glass that is 0.003 m thick? Round to the nearest tenth.

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Solve for x: Solve for x:

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B

Write the logarithm in expanded form. Write the logarithm in expanded form.

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D

Find the number of decibels of sound. The power of the sound is about Find the number of decibels of sound. The power of the sound is about   Use the equation D = 10(log I +16), where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number. Use the equation D = 10(log I +16), where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number.

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Express as a single logarithm. Express as a single logarithm.

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Graph: Graph:

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Write the logarithm in expanded form. Write the logarithm in expanded form.

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Evaluate Evaluate   Round to the nearest ten-thousandth. Round to the nearest ten-thousandth.

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Graph: Graph:

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Find the pH level of a solution which has a hydrogen ion concentration of Find the pH level of a solution which has a hydrogen ion concentration of   Use the equation   where H<sup>+</sup> is the hydrogen ion concentration of a solution. Round to the nearest tenth. Use the equation Find the pH level of a solution which has a hydrogen ion concentration of   Use the equation   where H<sup>+</sup> is the hydrogen ion concentration of a solution. Round to the nearest tenth. where H+ is the hydrogen ion concentration of a solution. Round to the nearest tenth.

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Given Given   evaluate  evaluate Given   evaluate

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Express as a single logarithm. Express as a single logarithm.

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Graph: Graph:

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Evaluate: log 0.0001

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Evaluate Evaluate   Round to the nearest ten-thousandth. Round to the nearest ten-thousandth.

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Express as a single logarithm. Express as a single logarithm.

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Solve for x: Solve for x:   Round to the nearest hundredth. Round to the nearest hundredth.

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Solve for x: Solve for x:

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Given Given   , evaluate H(3). Round to the nearest ten-thousandth. , evaluate H(3). Round to the nearest ten-thousandth.

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Write the exponential expression in logarithmic form. Write the exponential expression in logarithmic form.

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