# Calculus

QUESTION 1

1. Solve the equation.

2x2 3= 64

 {6} {3} {3, -3} {, – }

4 points

QUESTION 2

1. Solve the equation.

92x∙  27(3  x) =

 {10} {-8} {-11}

4 points

QUESTION 3

1. Solve the equation.

e 5 = + 3

 {8/5} {-17/3} {-7/5} {-8/3}

4 points

QUESTION 4

1. Solve the equation.

9 ln 5x =36

 {e4}

4 points

QUESTION 5

1. Solve the equation.

(16) x+1=(2/4)x1

 {3/5} {-3/5} {-6/5} {-3/10}

4 points

QUESTION 6

1. Solve the equation.

1253x – 2= 255x

 {-1/6) {1/6} {6} {-6}

points

QUESTION 7

1. Solve the equation.

log2(3x -2) – log2(x – 5) = 4

 {3/13} {18} 38/5 {6}

4 points

QUESTION 8

1. Solve the equation.

log5(x + 1) =1 + log5(x – 1)

4 points

QUESTION 9

1. Solve the equation.

e6x 1 = (e4)x

 {0}

4 points

QUESTION 10

1. Solve the equation.

log35(x + 70) =3 – log35x

 {-245} {245} {-175} {175}

4 points

QUESTION 11

1. Solve the equation.

5(9 – 2x)= 3125

 {2} {1} {3} {-2}

4 points

QUESTION 12

1. Solve the equation.

e2x= 7

 {2 ln 7}

4 points

QUESTION 13

1. Solve the problem.

f(x) =log3(x + 1) and g(x) = log3(x – 1).
Solve f(x) = What point is on the graph of f?

 {8}, (2, 7) {2186}, (2186, 7) {2}, (2, 9) {8}, (2, 3)

4 points

QUESTION 14

1. Solve the equation.

log42(x2 – x) = 1

 {1, 42} {-6, -7} {-6, 7} {6, 7}

4 points

QUESTION 15

1. Solve the equation.

e+ 6 = 8

 {e8 + 6} {ln 8 – 6} {e48} {ln 14}

4 points

QUESTION 16

1. Solve the equation.

ln  = 2

 {e4 – 2} {e4 + 2} {e2 – 2}

4 points

QUESTION 17

1. Solve the equation.

log3(x – 5) +log3(x – 11) = 3

 {14, 2} {15} {2} {14}

4 points

QUESTION 18

1. Solve the equation.

163 = 83x

4 points

QUESTION 19

1. Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.

ln x +ln (x + 5) = -3

 ≈ 2.505 -5 + ≈ 0.020 ≈ -5.010 ≈ 0.010

4 points

QUESTION 20

1. Solve the equation.

125x= 25

4 points

QUESTION 21

1. Solve the problem.

f(x) =log6(x + 3) and g(x) = log6(x – 2).
Solve g(x) = What point is on the graph of g?

 {214}, (214, 3) {3}, (3, 218) {216}, (216, 3) {218}, (218, 3)

4 points

QUESTION 22

1. Solve the equation.

(ex)x∙ e24 = e11x

 {8} {3, 8} {-3, -8} {3}

4 points

QUESTION 23

1. Solve the equation.

6x + 3 = 9x 4

4 points

QUESTION 24

1. Solve the equation.

3 +8 ln x = 10

 {e 7/8}

4 points

QUESTION 25

1. Solve the equation.

2 +log3(2x + 5) – log3 x = 4

4 points

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