MA 105 Week 7 Assignment

MA 105 Week 7 Assignment

QUESTION 1

Evaluate the function at the indicated value of x.  Round your result to three decimal places.

Function: f(x) = 0.5^x   Value: x = 1.7

		-0.308
		1.7
		0.308
		0.5
		-1.7

QUESTION 2

Match the graph with its exponential function.

		y = 2-x – 3
		y = -2x + 3
		y = 2x + 3
		y = 2x – 3
		y = -2x – 3

QUESTION 3

Select the graph of the function.

f(x) = 5^x-1

MA 105 Week 7 Assignment

QUESTION 4

Evaluate the function at the indicated value of x.  Round your result to three decimal places.

Function: f(x) = 500e^0.05x    Value: x=17

		1169.823
		1369.823
		1569.823
		1269.823
		1469.823

QUESTION 5

Use the One-to-One property to solve the equation for x.

e^3x+5 = 3⁶

		x = –1/3
		x2 = 6
		x = -3
		x = 1/3
		x = 3

QUESTION 6

Write the logarithmic equation in exponential form.

log₈ 64 = 2

		648 = 2
		82 = 16
		82 = 88
		82 = 64
		864 = 2

MA 105 Week 7 Assignment

QUESTION 7

Write the logarithmic equation in exponential form.

log₇ 343 = 3

		7343 = 2
		73 = 77
		73 = 343
		73 = 14
		3437 = 2

QUESTION 8

Write the exponential equation in logarithmic form.

4³ = 64

		log64 4 = 3
		log4 64 = 3
		log4 64 = -3
		log4 3 = 64
		log4 64 = 1/3

QUESTION 9

Use the properties of logarithms to simplify the expression.

log₂₀ 20⁹

		0
		–1/9
		1/9
		-9
		9

QUESTION 10

Use the One-to-One property to solve the equation for x.

log₂(x+4) = log₂ 20

		19
		17
		18
		16
		20

MA 105 Week 7 Assignment

QUESTION 11

Find the exact value of the logarithmic expression.

log₆ 36

		2
		6
		36
		-2
		none of these

QUESTION 12

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.  (Assume all variables are positive.)

log₃ 9x

		log3 9 x log3 x
		log3 9 + log3 x
		log3 9 log3
		none of these

QUESTION 13

Condense the expression to a logarithm of a single quantity. 

log_x – 2log_y + 3log_z

QUESTION 14

Evaluate the logarithm using the change-of-base formula.  Round your result to three decimal places.

log₄ 9

		1.585
		5.585
		3.585
		4.585
		2.585

MA 105 Week 7 Assignment

QUESTION 15

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

4^2×-7 = 16

x = 5

		no
		yes

QUESTION 16

Solve for x.

3^x = 81

		7
		3
		4
		-4
		-3

MA 105 Week 7 Assignment

QUESTION 17

Solve the exponential equation algebraically.  Approximate the resulted to three decimal places.

e^5x = e^x2-14

		-7, -2
		7, -2
		5, -14
		7, 2
		-7, 2

QUESTION 18

Solve the logarithmic equation algebraically.  Approximate the result to three decimal places.

log₃(6×-8) = log₃(5x + 10)

		18
		20
		17
		19
		-2

QUESTION 19

Find the magnitude R of each earthquake of intensity I (let I₀=1).

I = 19000

		3.28
		5.28
		4.28
		2.38
		6.28

 

MA 105 Week 7 Assignment

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QUESTION 20

$2500 is invested in an account at interest rate r, compounded continuously.  Find the time required for the amount to double.  (Approximate the result to two decimal places.)

r = 0.0570

		13.16 years
		10.16 years
		11.16 years
		12.16 years
		14.16 years

By admin in Blog on October 3, 2018