Answers Advanced Algebra Concepts and ConnectionsExponential and Logarithmic Functions: Part Two

Exponential and Logarithmic Functions: Part Two — Test Answers

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Which function is shown in the graph?

y is equal to 1 half raised to the x plus 3 power minus 1

y is equal to 1 half raised to the x minus 3 power plus 1

y is equal to 1 half raised to the x plus 1 power minus 3

y is equal to 1 half raised to the x minus 1 power plus 3

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What is the domain of y is equal to log sub 4 of open paren x plus 3 close paren ?

all real numbers greater than 3

all real numbers less than negative 3

all real numbers less than 3

all real numbers greater than negative 3

For what value of n does open paren 1 over 36 close paren to the n th power is equal to 216 ?

negative 3 halves

negative 3

3 halves

What is the solution to log sub 5 of open paren x plus 30 close paren is equal to 3 ?

x is equal to 95

x is equal to negative 5

x is equal to negative 95

x is equal to 5

The range of which function is open paren 2 comma infinity close paren ?

y is equal to 2 to the x th power

y is equal to 2 times open paren 5 to the x th power close paren

y is equal to 5 raised to the x plus 2 power

y is equal to 5 to the x th power plus 2

Calvin deposits 400 dollars in a savings account that accrues 5 percent interest compounded monthly. After c years, Calvin has 658 point 8 0 dollars Makayla deposits 300 dollars in a different savings account that accrues 6 percent interest compounded quarterly. After m years, Makayla has 613 point 0 4 dollars What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

Makayla invests her money 1 year longer.

Makayla invests her money 2 years longer.

Calvin invests his money 1 year longer.

Calvin invests his money 2 years longer.

For what value of x does 3 raised to the 4 x power is equal to 27 raised to the x minus 3 power ?

negative 3

negative 9

Which expression is equivalent to log sub 12 the fraction with numerator x to the 4th power square root of x cubed minus 2 end root and denominator open paren x plus 1 close paren to the 5th power ?

4 log sub 12 x plus 1 half log sub 12 the fraction with numerator x cubed and denominator 2 minus 5 log sub 12 x plus the log base 12 of 1

4 log sub 12 x plus 1 half log sub 12 open paren x cubed minus 2 close paren minus 5 log sub 12 open paren x times 1 close paren

the log base the log base 12 of 4 of x plus 1 half log sub 12 open paren x cubed minus 2 close paren minus 5 log sub 12 x plus 1

4 log sub 12 x plus 1 half log sub 12 open paren x cubed minus 2 close paren minus 5 log sub 12 open paren x plus 1 close paren

What is the sum of the first seven terms of the geometric series? 3 plus 12 plus 48 plus 192 plus dot dot dot

12 comma 288

65 comma 535

16 comma 383

4 comma 372

What is the solution to 2 log sub 9 x is equal to log sub 9 8 plus log sub 9 of open paren x minus 2 close paren ?

x is equal to negative 4

x is equal to 4

x is equal to negative 2

x is equal to 8

Which expression is equivalent to log sub w the fraction with numerator open paren x squared minus 6 close paren to the 4th power and denominator cube root of x squared plus 8 ?

4 log sub w the fraction with numerator x squared and denominator 1296 minus 1 third log sub w open paren 2 x plus 8 close paren

4 log sub w open paren x squared minus 6 close paren minus 3 log sub w open paren x squared plus 8 close paren

4 log sub w open paren x squared minus 6 close paren minus 1 third log sub w open paren x squared plus 8 close paren

4 times open paren log sub w x squared minus 1 third log sub w open paren x squared plus 8 close paren minus 6 close paren

Which of the following shows the extraneous solution to the logarithmic equation? log sub 3 of open paren 18 x cubed close paren minus log sub 3 of 2 x is equal to the log base 3 of 144

x is equal to negative 8

x is equal to negative 4

x is equal to negative 2

x is equal to negative 16

What is the solution of log sub 2 of open paren 3 x minus 7 close paren is equal to 3 ?

1 third

16 thirds

For what value of n does the fraction with numerator 216 raised to the n minus 2 power and denominator open paren 1 over 36 close paren raised to the 3 n power is equal to 216 ?

negative 1 third

5 ninths

negative 3

What is the range of the function y is equal to 2 e to the x th power minus 1 ?

all real numbers less than 1

all real numbers less than negative 1

all real numbers greater than negative 1

all real numbers greater than 1

What is the approximate value of the log base 6 of 25 ?

1 point 7 9 6

0 point 2 3 3

0 point 6 2 0

0 point 5 5 7

What is the true solution to the equation? the natural log of e raised to the natural log x power plus the natural log of e raised to the the natural log of x squared power is equal to 2 ln 8

x is equal to 4

x is equal to 8

x is equal to 2

x is equal to 64

Which geometric series converges?

1 plus 1 half plus 1 fourth plus 1 eighth plus dot dot dot

the sum from n is equal to 1 to infinity of 7

1 over 81 plus 1 over 27 plus 1 ninth plus 1 third plus dot dot dot

the sum from n is equal to 1 to infinity of 1 fifth

How does the value of log_2⁡100 compare with the value of the log base 6 of 20 ?

The value of the log base 2 of 100 is about 1 third times the value of the log base 6 of 20 .

The value of the log base 2 of 100 is about 4 times the value of the log base 6 of 20 .

The value of the log base 2 of 100 is about 1 fourth times the value of the log base 6 of 20 .

The value of the log base 2 of 100 is about 3 times the value of the log base 6 of 20 .

Which graph represents an exponential decay function?

Image with description On a coordinate plane, the x-axis is labeled 'x' and ranges from negative 10 to 10. The y-axis is labeled 'y' and ranges from negative 10 to 10. A curved line, passes through the points (negative 2 comma 0 point 2 5), (negative 1 comma 0 point 5), (0 comma 1), (1 comma 2), (2 comma 4) and (3 comma 8). The curve has a horizontal asymptote at y equals 0 (the x-axis), which it approaches as x approaches negative infinity.

Image with description On a coordinate plane, the x-axis is labeled 'x' and ranges from negative 10 to 10. The y-axis is labeled 'y' and ranges from negative 10 to 10. A curved line, begins at the origin (0 comma 0) and extends into the first quadrant. The curve is continuously increasing and appears concave down. It passes through (1 comma 1), (3 comma 2), and (8 comma 3).

Image with description On a coordinate plane, the x-axis is labeled 'x' and ranges from negative 10 to 10. The y-axis is labeled 'y' and ranges from negative 10 to 10. A curved line, begins at approximately (0 comma 0) and extends to the right in fourth quadrant. The curve is continuously decreasing and it passes through approximately (1 comma negative 1), (4 comma negative 2), and (9 point 5 comma negative 3).

Image with description On a coordinate plane, the x-axis is labeled 'x' and ranges from negative 10 to 10. The y-axis is labeled 'y' and ranges from negative 10 to 10. A curved line, passes through the points (negative 1 comma 2), (negative 2 comma 4), (negative 3 comma 8), (0 comma 1), (1 comma 0 point 5), and (2 comma 0 point 2 5). The curve has a horizontal asymptote at y equals 0 (the x-axis), which it approaches as x approaches positive infinity.

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Exponential and Logarithmic Functions: Part Two — Test Answers

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