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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Q: 1. a) Write as a single logarithm: log b) log5 (6) + log5 (8) - log5 (16)

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Q: 5) Simplify In( using the properties of logarithms.

A: 5. The given expression is,lnxy2z3

Q: Pls help

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Q: 5log. (x) – 7log, (xy) – 3log,(z) -

A: Answer and explanation is given below..

Q: b) log(x) + 2log(y) - 3log(z) + log 2

A: topic - logarithmic equations

Q: Write the expression as a single logarithm with coefficient 1. log(x – 5) + 3 log(2x + 1) – 2 log(x)

A: properties of logarithms are alogcb=logcba logca+logcb=logcab logca-logcb=logcab

Q: A) Express the given quantity as a single logarithm. ln(8) + 3 ln(3)

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…