Exam 3: Exponential and Logarithmic Functions

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Approximate the number Approximate the number    . Round your answer to two decimal places. . Round your answer to two decimal places.

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If Juan deposits $7,450 in a savings account that earns 3.1% compounded continuously, how much money should he expect to be in the account in 2 years? Round your answer to two decimal places.

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Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first. Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

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Solve the exponential equation exactly for x. Solve the exponential equation exactly for x.

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Use the properties of logarithms to simplify the expression. E-4ln6

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Evaluate the logarithm exactly. Log4 1

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State the domain of the logarithm function f(x) = log6 (x2 + 7).

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State the domain and range for the function. Express in interval notation. State the domain and range for the function. Express in interval notation.

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State the domain and range for the function. Express in interval notation. State the domain and range for the function. Express in interval notation.

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If Alicia deposits $5,600 in a savings account that earns 3.1% interest per year compounded weekly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

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Use the properties of logarithms to simplify the expression. Log 44 44

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Evaluate the logarithm using the change of base formula. Round your answer to two decimal places. log1.3 6.2

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Write the logarithmic equation in its equivalent exponential form. Write the logarithmic equation in its equivalent exponential form.

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Solve the logarithmic equation exactly. Solve the logarithmic equation exactly.

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Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first. Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

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Write in an equivalent form using the natural logarithm. Write in an equivalent form using the natural logarithm.

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Solve the logarithmic equation exactly. log(2x - 8) = 3

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Write the logarithmic equation in its equivalent exponential form. log6 369.74 = 3.3

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Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places. Log 6.4 12.6

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Evaluate the logarithm exactly. Log7 40,353,607

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