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