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4.7.3 Practice_ Exponential and Logarithmic Functions (Questions and Answers) Harvard University MATH MATH E-102 R168,72   Add to cart
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4.7.3 Practice_ Exponential and Logarithmic Functions (Questions and Answers) Harvard University MATH MATH E-102
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  • MATH MATH E-102 Sets, Counting, and Probability
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  • MATH MATH E-102 Sets, Counting, And Probability

4.7.3 Practice: Exponential and Logarithmic Functions Answer the following questions using what you've learned from this unit. Write your responses in the space provided. 1. Check all correct answers (there may be more than one). (2 points) In the expression a b , Check → A. The value b is...

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  • March 31, 2023
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  • 2022/2023
  • Exam (elaborations)
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  • 473 practice exponential and logarithmic functions harvard university math math e 102
  • 473 practice exponential and logarithmic functions answer the following questions using what youve learn

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  • MATH MATH E-102 Sets, Counting, and Probability
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4.7.3 Practice: Exponential and Logarithmic Functions

Answer the following questions using what you've learned from this unit. Write your responses in
the space provided.

1. ​Check all correct answers (there may be more than one). (2 points)

In the expression ​ab​ ,​



Check → A. The value ​b​ is an exponent.

_____B. The value ​a​ tells you how many times to multiply ​b​ by itself.

_____C. The value ​a​ must be > 1.

Check -->D. The value ​b​ tells you how many times to multiply ​a​ by itself.

_____E. The value ​b​ must be an integer.



2. ​Simplify the expression below. Write your answer with only positive exponents. (2 points)




=


(a^2b^2c/a^5c^2)(a^3b/c^4)


Remove parentheses: a^2b^2c/a^5c^2* a^3b/c^4


Multiply to get a^3b/c64* b^2a^3c


Multiple fractions to get: b^2a63b/a^3cc^4


Cancel the common factor a^3 to get: b^b/cc^4


b^2b=b^3


b^3/c^4c


cc^4=c^5


Final answer:b^3/c^5

, 3. ​Combine into a single logarithm. (2 points)


=


3log10(x+y)+2log10(x-y)-loh10(x^2+y^2)

log10(x+y)^3+log10(x-y)^2-log10(x^2+y^2)

log10((x+y)^3)*((x-y)^2))-log10(x^2+y^2)

log10((((x+3)^3)*((x-y)^2))))/(x^2+y^2))



4. ​Use rules of logarithms to expand. (2 points)




=


log10((x+3)^2)-log10((x-2)(x^2)^4)

2log10(x+3)-(log10(x-2)+4log10(x^2+5))

2log10(x+3)-log10(x-2)-4log10(x^2+5)

5. ​Rewrite as an exponential equation. (2 points)




x=-y+e^5


6. ​Rewrite as a logarithmic equation. (2 points)




log2(a-b)=4

7. ​Evaluate each expression. (4 points)




a.

rewrite 32 into power base form.

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