The Logarithm Function. The Exponential Function & Arbitrary Powers: Other BasesPart-1(a)- Part-2(d)calculus1. (1 pt) Find the exact value of each expression.(a) logs 2 (b) lneVI (a) (b) Correct Answers: • 0.333333333333333 • 1.41421356237312. (1 pt) Find the exact value of each expression.(a) log 1.25 + log 8 (b) log5 10 + 1og5 20 — 31og5 2 (a) (b) Correct Answers:• 2• 23. (1 pt) Express the given quantity as a single logarithm.lnx+21ny-71nzCorrect Answers: • ln(x*y^{2}/ z"{7})4. (1 pt) Find the exact value of each expression.(a) 21c12 3+log2 5 (b) e3 m2 (a) (b) Correct Answers:• 15• 85. (1 pt) Select True or False for each statement.You must get all of the answers correct to receive credit.ln(3ab) = bln a +1n3In ?Ay = 3(lnx + lny) 1og2 4 = logs 8 + .5 log416 (lna)3b = 3blna Correct Answers:• True • True • True • False6. (1 pt) The expression 35x-134-2x can be written as 31(4, where f(x) is a function of x. Find . = Correct Answers: • (5 - 2)*x + (4 -1)7. (1 pt) The expression (2-4)5x can be written as 21(4, where f(x) is a function of x. Find f . f = Correct Answers: • (-4)*(5)*x8. (1 pt) Suppose that f = (8 — 2x)?. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'.(B) Use interval notation to indicate where f(x) is increas-ing. Note: Use '114F' for co, '-INF' for —co, and use 'U' for the union symbol. Increasing. (C) Use interval notation to indicate where f (4 is decreas-ing. Decreasing. (D) List the x values of all local maxima of f . If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the x values of all local minima of f . If there are no local minima, enter 'NONE'. x values of local minimums = (F) Use interval notation to indicate where f(x) is concave up. Concave up. (G) Use interval notation to indicate where f(x) is concave down. Concave down. (H) List the x values of all the inflection points of f . If there are no inflection points, enter 'NONE'. x values of inflection points =
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