Exam 8: Exponential and Logarithmic Expressions, Equations and Functions

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Use the power rule to rewrite the expression as a product and simplify as much as possible. -Use the power rule to rewrite the expression as a product and simplify as much as possible. -

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Rewrite the expression as a single logarithm and simplify as much as possible. -Rewrite the expression as a single logarithm and simplify as much as possible. -

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Rewrite the expression as a single logarithm and simplify. -Rewrite the expression as a single logarithm and simplify. -

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Graph the function Graph the function

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Rewrite the expression as a single logarithm and simplify. -Rewrite the expression as a single logarithm and simplify. -

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Rewrite the expression as a single logarithm. -Rewrite the expression as a single logarithm. -

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Use Use   ,   to find  , Use   ,   to find  to find Use   ,   to find

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The original amount of methylacetate is The original amount of methylacetate is   and   . Find the amount of methylacetate left after 45 minutes. Round to the nearest hundredth. and The original amount of methylacetate is   and   . Find the amount of methylacetate left after 45 minutes. Round to the nearest hundredth. . Find the amount of methylacetate left after 45 minutes. Round to the nearest hundredth.

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  is between which two numbers. is between which two numbers.

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Rewrite the expression Rewrite the expression   as the sum and/or difference of logarithms of a single variable with no exponents. as the sum and/or difference of logarithms of a single variable with no exponents.

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It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.)And use it to find the profit from selling 5,000 stop watches of this model. ( It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.)Where It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.)Is the revenue from selling It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.)Stop watches and It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.)Is the cost of producing It costs a company $5.50 to produce a certain model of stop watch. The stop watch sells for $21.99 each. Write a profit function  And use it to find the profit from selling 5,000 stop watches of this model. (  Where  Is the revenue from selling  Stop watches and  Is the cost of producing   stop watches.) stop watches.)

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Use Use   and   to find  and Use   and   to find  to find Use   and   to find

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Use Use  And  To find  And Use  And  To find  To find Use  And  To find

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$34,000 is invested at an annual interest rate of 8% for 2 years. Find the future value of the investment, rounded to the nearest hundredth, if the interest is compounded continuously.

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Use Use   to find    to find Use   to find

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Rewrite the expression as a single logarithm. -Rewrite the expression as a single logarithm. -

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Rewrite the expression as a single logarithm. -Rewrite the expression as a single logarithm. -

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Imagine graphing the four functions on the same coordinate system. Imagine graphing the four functions on the same coordinate system.   For which of these functions do the outputs decrease fastest? For which of these functions do the outputs decrease fastest?

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