Jeoprady! Exam 3 Review

4.4

100

Evaluate log₂(8²⁵)

75

200

Simplify log₇(3)(log₃(8))

log₇(8)

300

Evaluate log₂(10)-log₂(35)+log₂(28)

3

400

Expand: ln[(x⁵√{x-9})/7x+8]

5ln(x) + (1/2)ln(x-9) - ln(7x+8)

500

Combine: 4log(x) - (1/5)log(x²+1)+4log(x-1)

log[(x⁴(x-1)⁴)/⁵√(x²+1)]

4.5

100

Solve the equation: 2x²e^-3x-9x³e^-3x=0

0,2/9

200

How long will it take for an investment of $2000 to double in value if the interest rate is 8.5% per year, compounded continuously?

8.15

300

Solve the logarithmic equation for x 

log₇(x) + log₇(x + 2) = log₇(24)

4

400

Solve the equation.

e^2x − e^x − 56 = 0

2.0794

500

Solve the equation for x.

log₂(log₃(x)) = 1

9

6.1

100

Find the degree measure of the angle with the given radian measure.
13𝜋/10

234 °

200

Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)

−2

-114.6°

300

Find the radian measures that correspond to the degree measures 210° and −145°.

7π/6 rad and -29π/36 rad

400

Find an angle between 0 and 2𝜋 that is coterminal with the given angle.
51𝜋/2

3𝜋/2 rad

500

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle 

315°

315° is coterminal with 315° + 360° = 675°, 315° + 720° = 1035°, 315° − 360° = −45°, and 315° − 720° = −405°.

6.2

100

Find the exact value of sec B*tan A

13/12

200

Find sin(x) if tan(x) = 5 and cos(x) = 1/√26

5/√26

300

Find x

138.6

400

400

388

500

500

8.4

6.3

100

Find the exact value of cos(-11π/6)

√3/2

200

Find the quadrant in which 𝜃 lies from the information given.tan(𝜃) > 0 and sin(𝜃) < 0

III and IV

300

Without finding x, find the exact value of tanx*secx if sinx < 0 and cos x = -3/4

-4√7/9

400

Find the exact value of csc(3π/2)*cos(-π/6)-sin(2π/3)

-√3 

500

Given tan(x) = -5/12, x in Quadrant II. Find:

cos(x)

csc(x)

cos(x) = -12/13

csc(x) = 13/5