Answers IAE - DP Math Analysis SL1 Semester 1 CRBase e

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What is rewritten using the power property?

e log Subscript 6 Baseline f

f log Subscript 6 Baseline e

log Subscript 6 Baseline (e times f)

log Subscript 6 Baseline (e + f)

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What is the range of ?

all real numbers not equal to 0

all real numbers less than 6

all real number greater than 6

all real numbers

Which of the following shows the true solution to the logarithmic equation solved below?

x = negative 8

x = 1

and

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

0.93

1.23

9.16

65.53

If you are given the graph of , how could you graph ?

Translate each point of the graph of g(x) 5 units up.

Translate each point of the graph of g(x) 5 units down.

Translate each point of the graph of g(x) 5 units left.

Translate each point of the graph of g(x) 5 units right.

What is written as a single logarithm?

4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed

log Subscript one-half Baseline w Superscript 4 Baseline (StartFraction u squared Over v cubed EndFraction)

log Subscript one-half Baseline (StartFraction w Superscript 4 Baseline Over u squared v cubed EndFraction)

log Subscript one-half Baseline (w (StartFraction u squared Over v cubed EndFraction)) Superscript 4

What are the domain and range of ?

domain: x > 1; range: y > 2

domain: x > 1; range: all real numbers

domain: all real numbers; range: y > 1

domain: all real numbers; range: all real numbers

What is the solution of Round your answer to the nearest hundredth.

mc017-2.jpg

mc017-3.jpg

mc017-4.jpg

mc017-5.jpg

Which function has a horizontal asymptote of y = 3?

f(x) = 3(2x)

f(x) = 2(4)x–3

f(x) = 2(3x)

f(x) = 2(4x) + 3

Which equation has x = 4 as the solution?

log Subscript 4 Baseline (3 x + 4) = 2

log Subscript 3 Baseline (2 x minus 5) = 2

log Subscript x Baseline 64 = 4

log Subscript x Baseline 16 = 4

What are the solutions to

x = negative 2 and x = negative 4

x = negative 1 and x = 8

x = 1 and x = negative 8

x = 2 and x = 4

Which of the following shows the extraneous solution to the logarithmic equation below?

x = negative 6

x = negative 4

x = negative 2

x = negative 1

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.