1. (1 point) Use properties of logarithms to simplify the following expressions. a.) log.(43)= b.) eIn() = c.) In(e)= d.) log(1) = 2. (1 point) Use properties of logarithms to combine each of the expressions below into one logarithm. a.) log3(x-1)-log3(x+1) b.) log2(x) + log2(y) - log2(z) 3. (1 point) Use properties of logarithms to split each of the expressions below into two logarithms. Remember to simplify all exponents. a.) log(x³y2) b.) In ( 4. (1 point) Consider the logarithmic expression: log,(100) a.) Estimate the value of this expression. b.) Show how to use the change of base formula to rewrite this expression using the common log or the natural log. Then use a calculator to approximate the expression to 2 decimal places.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. (1 point) Use properties of logarithms to simplify the following expressions.
a.) log.(43)=
b.)
eIn() =
c.) In(e)=
d.) log(1) =
2. (1 point) Use properties of logarithms to combine each of the expressions below into one logarithm.
a.) log3(x-1)-log3(x+1)
b.) log2(x) + log2(y) - log2(z)
3. (1 point) Use properties of logarithms to split each of the expressions below into two logarithms.
Remember to simplify all exponents.
a.) log(x³y2)
b.) In (
4. (1 point) Consider the logarithmic expression: log,(100)
a.) Estimate the value of this expression.
b.) Show how to use the change of base formula to rewrite this expression using the common log or the natural log.
Then use a calculator to approximate the expression to 2 decimal places.
Transcribed Image Text:1. (1 point) Use properties of logarithms to simplify the following expressions. a.) log.(43)= b.) eIn() = c.) In(e)= d.) log(1) = 2. (1 point) Use properties of logarithms to combine each of the expressions below into one logarithm. a.) log3(x-1)-log3(x+1) b.) log2(x) + log2(y) - log2(z) 3. (1 point) Use properties of logarithms to split each of the expressions below into two logarithms. Remember to simplify all exponents. a.) log(x³y2) b.) In ( 4. (1 point) Consider the logarithmic expression: log,(100) a.) Estimate the value of this expression. b.) Show how to use the change of base formula to rewrite this expression using the common log or the natural log. Then use a calculator to approximate the expression to 2 decimal places.
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